Arne Pommerening,Continuous Cover Forestry:Theories,Concepts,and Implementation.WILEY(2023),pp.416;ISBN:978-1-119-89532-9(E-BOOK),ISBN:978-1-119-89530-5(PRINT).Forests are the largest,most complex,and most diverse ter...Arne Pommerening,Continuous Cover Forestry:Theories,Concepts,and Implementation.WILEY(2023),pp.416;ISBN:978-1-119-89532-9(E-BOOK),ISBN:978-1-119-89530-5(PRINT).Forests are the largest,most complex,and most diverse terrestrial ecosystems,known as the overall regulator of nature and the“lungs of the earth”.They play an important role in maintaining global ecological balance and biodiversity,mitigating climate change,and promoting economic development.Therefore,strengthening the protection and cultivation of forest resources is an important way to achieve sustainable development.Countries around the world are actively exploring and developing ways to achieve sustainable forest management.展开更多
Background: China has a long tradition of managing planted forests. Different species of Populus, Eucalyptus, Larix, Cunninghamia and Pinus are planted to satisfy the local demand for wood products and provide ecologi...Background: China has a long tradition of managing planted forests. Different species of Populus, Eucalyptus, Larix, Cunninghamia and Pinus are planted to satisfy the local demand for wood products and provide ecological services at the same time. Evidence of the greater resilience of natural forests provides the motivation to develop asymmetric planting patterns, which is the focus of this study. We present a new method for designing plantation patterns that follow those observed in natural ecosystems and to maintain some regularity for operational convenience. Methods: Based on the uniform angle index, we analyzed the spatial structure of six natural forests in different regions of China. The uniform angle index describes the degree of spatial uniformity of the n nearest neighbors of a given reference tree. Accordingly, we identified all possible patterns of a neighborhood group within a regular planting pattern and developed a method to optimize planting point arrangements that contain some randomness as well as a minimum degree of regularity. Results:(1) There are 13 types of structural units in a regular planting, including seven random units, five even units and one cluster unit;(2) Five near-natural arrangements are presented with a minimum proportion of 50% of random units. These five arrangements represent a combination of regularity for operational convenience and asymmetry. Conclusions: The new planting patterns developed in this study are expected to increase the asymmetric competition and resilience of these important ecosystems. Some experimental plantings, based on our findings, have already been established, e.g., in Pinus tabulaeformis plantations in Tianshui, Gansu Province, and in a Populus deltoides plantation in Fangshan near Beijing.展开更多
Background:A number of hypotheses and theories,such as the Janzen-Connell hypothesis,have been proposed to explain the natural maintenance of biodiversity in tropical and temperate forest ecosystems.However,to date th...Background:A number of hypotheses and theories,such as the Janzen-Connell hypothesis,have been proposed to explain the natural maintenance of biodiversity in tropical and temperate forest ecosystems.However,to date the details of the processes behind this natural maintenance are still unclear.Recently two new nearest-neighbour characteristics were proposed and in this paper we demonstrate how they can contribute to a better understanding of the ontogenesis of global forest structure from localised neighbourhoods.Methods:We applied the new species and size segregation functions together with appropriate test procedures to four example woodland data sets from China at Daqingshan,Jiaohe,Jiulongshan and Xiaolongshan forest regions.In addition we quantified the morphology of the new characteristics and modelled a neighbourhood allometric coefficient linking the two functions.Results:The results revealed quite different species segregation patterns with both conspecific and heterospecific attraction.We found these to be generally matched by equivalent size segregation patterns of attraction of similar and different sizes.It was straightforward to model the size segregation function from the knowledge of the species segregation function by estimating a neighbourhood allometric coefficient.Conclusions:The new characteristics have helped to quantify the extent and rate of decline of neighbourhood interactions in terms of spatial species and size diversity.Through the allometric neighbourhood coefficient the analysis highlighted once more how closely related species and size segregation are,thus supporting the minglingsize hypothesis.Using both a traditional and a restricted random-labelling test has provided a valuable tool for understanding the exact nature of species-mingling and size-inequality relationships.展开更多
Researches on macroscopic fouling behavior and micromorphology are usually conducted separately.In this paper,the relationship between the macroscopic fouling behavior and micromorphology on different materials is est...Researches on macroscopic fouling behavior and micromorphology are usually conducted separately.In this paper,the relationship between the macroscopic fouling behavior and micromorphology on different materials is established.A direct fractal-characterization approach based on the micrographs of calcium carbonate fouling crystals is presented.The box-counting method is used to characterize the fouling crystals.For fractal measurements,t-distribution tests of linear regression hypothesis are performed at the significance level of 0.01.If all listed absolute t-statistics with the minimum of 164 are higher than the corresponding t value,the fouling crystals are determined as fractal,with a confidence level of 99%.The fractal dimensions obtained from the micrographs of different visual fields of a specimen are demonstrated to be almost identical,with maximum and minimum relative values of 4.42%and 0.75%,respectively,and standard deviations ranging from 0.0062 to 0.0266.The irregularity of the crystal morphology indicates larger fractal dimensions.Comparison and analysis of the relationship between macroscopic fouling behavior and micromorphology show that the larger fractal dimension of crystal morphology suggests a small amount of surface fouling.Thus,the reasons for the differences in the macroscopic fouling behaviors of different materials are revealed geometrically.展开更多
The competition among modem enterprises has been converted from products to capability. As the basis of competition, production system can't win the market unless it takes advantage of its capability in competition. ...The competition among modem enterprises has been converted from products to capability. As the basis of competition, production system can't win the market unless it takes advantage of its capability in competition. Here in this article, the evolutionary rules of production system contributing to the establishment, renovation, reform, invention and promotion of the production of modem enterprises are observed.展开更多
The equipment manufacture industry occupies the important position in our national economy, and the research on its core competitiveness is an important aspect of protecting the healthy development of equipment manufa...The equipment manufacture industry occupies the important position in our national economy, and the research on its core competitiveness is an important aspect of protecting the healthy development of equipment manufacture industry. Researches on core competitiveness of equipment manufacture industry are to cultivate, strengthen and perfect enterprise's core competitiveness and bring about the advance to enterprise.展开更多
Oceanic submesoscales can significantly influence phytoplankton production and export owing to their similar timescales of days.Based on two-year Biogeochemical Argo(BGC-Argo) observations,this study investigated the ...Oceanic submesoscales can significantly influence phytoplankton production and export owing to their similar timescales of days.Based on two-year Biogeochemical Argo(BGC-Argo) observations,this study investigated the development of submesoscale instabilities,particularly symmetric and mixed-layer baroclinic instabilities,and their impacts on biological production and export in the oligotrophic South China Sea basin.In the northern basin,near-surface winter blooms consistently cooccurred with seasonally deepened mixed layers.However,significantly stronger and weaker winter blooms were observed over two consecutive winters within the BGC-Argo observation period.During the first winter,symmetric-instability-induced upward nutrient entrainment played a crucial role in initiating the strong winter bloom in early December,when the mixed layer was approximately 20–30 m shallower than the nutricline.This bloom occurred approximately 20–30 days earlier than that anticipated owing to the contact between the seasonally deepened mixed layer and mesoscale-cyclone-induced uplifted nutricline.The symmetric instability also facilitated the export of fixed phytoplankton carbon from the surface to deeper layers.Conversely,during the second winter,remarkably intense mixed-layer baroclinic instability associated with an intense mesoscale anticyclone led to more significant shoaling of the mixed layer compared to the nutricline,thus increasing the vertical distance between the two layers.Under this condition,upward nutrient injection,phytoplankton bloom,and carbon export were suppressed.In contrast,the BGC-Argo float in the central basin revealed significantly inhibited seasonality of phytoplankton biomass and submesoscale instabilities compared to those in the northern basin,primarily owing to the significantly shallower winter mixed layer.展开更多
Forest Stock Volume(FSV)is one of the key indicators in forestry resource investigation and management on local,regional,and national scales.Limited by the saturation problems of optical satellite remote-sensing image...Forest Stock Volume(FSV)is one of the key indicators in forestry resource investigation and management on local,regional,and national scales.Limited by the saturation problems of optical satellite remote-sensing imagery in the retrieving of stock volume,and the high cost of Light Detection And Ranging(LiDAR)data,it is still challenging to estimate FSV in a large area using single-sensor remote-sensing data.In this paper,a method integrated multispectral satellite imagery and LiDAR data was developed to map stock volume in a large area.A random forest model was adopted to estimate the stock volume of larch forest in China based on the training samples from the Airborne Laser Scanning(ALS)-derived stock volume and corresponding Sentinel-2 imagery.Validation using National Forest Inventory(NFI)data,ALS-derived stock volume and ground investigation data demonstrated that the estimated stock volume had a high accuracy(R2=0.59,RMSE=59.69 m^(3)/ha,MD=39.96 m^(3)/ha when validated with NFI data;R2 ranged from 0.77 to 0.85,RMSE ranged from 38.68 m^(3)/ha to 67.38 m^(3)/ha,MD ranged from 24.90 m^(3)/ha to 37.27 m^(3)/ha when validated with ALS stock volume;R2=0.42,RMSE=79.10 m^(3)/ha,MD=62.06 m^(3)/ha when validated with field investigation data).Results of this paper indicated the applicability of estimating stock volume of larch forest in a large area by combining Sentinel-2 data and airborne LiDAR data.展开更多
OBJECTIVE: To discuss the mechanism of Yiqiyang- yin recipe in rats with adriamycin (ADR)-induced ne- phropathyo METHODS: We randomly divided 30 Sprague-Daw- ley rats into 5 groups: control, model, glucocorti- co...OBJECTIVE: To discuss the mechanism of Yiqiyang- yin recipe in rats with adriamycin (ADR)-induced ne- phropathyo METHODS: We randomly divided 30 Sprague-Daw- ley rats into 5 groups: control, model, glucocorti- coid, Chinese herb, and Chinese herb plus glucocor- ticoid groups. The 24-h urine volume was collected on days 7, 14, 21, and 28 after ADR injection, and all rats were killed on day 28. We measured the 24-h levels of urinary protein, serum cholesterol, and se- rum triglycerides, and renal function of all rats by using routine biochemical methods. Pathological changes in the rat kidneys were observed under light and electron microscopes. Heparanase (HPA) mRNA expression levels were measured using re-al-time fluorescence-quantitative polymerase chain reaction. Urine levels of HPA in all groups were measured using enzyme-linked immunosor- bent assay. The expression of nephrin was detected by immunohistochemical staining and quantitative- ly analyzed using Motic image analysis 3.2 software. RESULTS: The levels of urinary protein and serum triglycerides and cholesterol in rats with ADR-in- duced nephropathy increased on day 14. The se- rum albumin levels simultaneously decreased. All the changes reached the peak on day 28. Examina- tion under the light microscope showed inflamma- tory cells and slight fibroplasia in the renal intersti- tium in the model group, but fewer inflammatory cells were observed in the intervention groups than those in the model group. Examination under the electron microscope showed extensive fusion of foot processes in ADR rats. HPA mRNA expres- sion was higher in the model group than that in the control group. The HPA mRNA levels in the in- tervention groups, especially in the Chinese herb group, and Chinese herb plus glucocorticoid group were significantly lower than the level in the model group. The HPA expression levels correlated signifi- cantly with the proteinuria level. No significant dif- ference was found in the HPA level in urine be- tween the intervention groups and the model group, whereas the model group had a higher uri- nary HPA level than the control group. Nephrin mRNA expression levels in the model group were higher than those in the control group. Nephrin mRNA expression levels were significantly lower in the intervention groups than that in the model group, especially the Chinese herb plus glucocorti- cold group. Compared with the control group, themodel group showed increased nephrin expression in the kidney. Nephrin levels in the other groups, es- pecially in the Chinese herb plus glucocorticoid group, were significantly lower than that in the model group. The nephrin levels in the kidney were negatively correlated with the proteinuria level. CONCLUSION: Yiqiyangyin recipe could attenuate foot process injury particularly in combination with a steroid reduce the development of proteinuria possibly by inhibition of HPA in the kidney, and reg- ulate the expression of nephrin in rats with ADR-in- duced nephropathy. Our study showed that treat- ment with Yiqiyangyin recipe plus glucocorticoid was better than a singular intervention, and we ex- plored the pharmacological mechanism of this combination by biochemical and molecular biologi- cal analysis to provide a basis for clinical applica- tion.展开更多
We consider the Borcherds-Cartan matrix obtained from a symmetrizable generalized Cartan matrix by adding one imaginary simple root. We extend the result of Gebert and Teschner [Lett. Math. Phys., 1994, 31: 327-334] ...We consider the Borcherds-Cartan matrix obtained from a symmetrizable generalized Cartan matrix by adding one imaginary simple root. We extend the result of Gebert and Teschner [Lett. Math. Phys., 1994, 31: 327-334] to the quantum case. Moreover, we give a connection between the irreducible dominant representations of quantum Kac-Moody algebras and those of quantum generalized Kac-Moody algebras. As the result, a large class of irreducible dominant representations of quantum generalized Kac-Moody algebras were obtained from representations of quantum Kac-Moody algebras through tensor algebras.展开更多
文摘Arne Pommerening,Continuous Cover Forestry:Theories,Concepts,and Implementation.WILEY(2023),pp.416;ISBN:978-1-119-89532-9(E-BOOK),ISBN:978-1-119-89530-5(PRINT).Forests are the largest,most complex,and most diverse terrestrial ecosystems,known as the overall regulator of nature and the“lungs of the earth”.They play an important role in maintaining global ecological balance and biodiversity,mitigating climate change,and promoting economic development.Therefore,strengthening the protection and cultivation of forest resources is an important way to achieve sustainable development.Countries around the world are actively exploring and developing ways to achieve sustainable forest management.
基金supported by the National Key Research and Development Program of China(2016YFD0600203)
文摘Background: China has a long tradition of managing planted forests. Different species of Populus, Eucalyptus, Larix, Cunninghamia and Pinus are planted to satisfy the local demand for wood products and provide ecological services at the same time. Evidence of the greater resilience of natural forests provides the motivation to develop asymmetric planting patterns, which is the focus of this study. We present a new method for designing plantation patterns that follow those observed in natural ecosystems and to maintain some regularity for operational convenience. Methods: Based on the uniform angle index, we analyzed the spatial structure of six natural forests in different regions of China. The uniform angle index describes the degree of spatial uniformity of the n nearest neighbors of a given reference tree. Accordingly, we identified all possible patterns of a neighborhood group within a regular planting pattern and developed a method to optimize planting point arrangements that contain some randomness as well as a minimum degree of regularity. Results:(1) There are 13 types of structural units in a regular planting, including seven random units, five even units and one cluster unit;(2) Five near-natural arrangements are presented with a minimum proportion of 50% of random units. These five arrangements represent a combination of regularity for operational convenience and asymmetry. Conclusions: The new planting patterns developed in this study are expected to increase the asymmetric competition and resilience of these important ecosystems. Some experimental plantings, based on our findings, have already been established, e.g., in Pinus tabulaeformis plantations in Tianshui, Gansu Province, and in a Populus deltoides plantation in Fangshan near Beijing.
基金partly supported by the Guangxi Innovation Driven Development Project(No.AA17204087-8)funded by the National Natural Science Foundation of China(project No.31670640)。
文摘Background:A number of hypotheses and theories,such as the Janzen-Connell hypothesis,have been proposed to explain the natural maintenance of biodiversity in tropical and temperate forest ecosystems.However,to date the details of the processes behind this natural maintenance are still unclear.Recently two new nearest-neighbour characteristics were proposed and in this paper we demonstrate how they can contribute to a better understanding of the ontogenesis of global forest structure from localised neighbourhoods.Methods:We applied the new species and size segregation functions together with appropriate test procedures to four example woodland data sets from China at Daqingshan,Jiaohe,Jiulongshan and Xiaolongshan forest regions.In addition we quantified the morphology of the new characteristics and modelled a neighbourhood allometric coefficient linking the two functions.Results:The results revealed quite different species segregation patterns with both conspecific and heterospecific attraction.We found these to be generally matched by equivalent size segregation patterns of attraction of similar and different sizes.It was straightforward to model the size segregation function from the knowledge of the species segregation function by estimating a neighbourhood allometric coefficient.Conclusions:The new characteristics have helped to quantify the extent and rate of decline of neighbourhood interactions in terms of spatial species and size diversity.Through the allometric neighbourhood coefficient the analysis highlighted once more how closely related species and size segregation are,thus supporting the minglingsize hypothesis.Using both a traditional and a restricted random-labelling test has provided a valuable tool for understanding the exact nature of species-mingling and size-inequality relationships.
基金supported by the National Natural Science Foundation of China“Research on the Mixing Deposition of Crude Oil and Inorganic Salts in Stratified Flow of High Water and Low Oil Through a Pipeline”[grant number 51574259]Research Foundation of China University of Petroleum-Beijing At Karamay(grant number YJ2018B02001).
文摘Researches on macroscopic fouling behavior and micromorphology are usually conducted separately.In this paper,the relationship between the macroscopic fouling behavior and micromorphology on different materials is established.A direct fractal-characterization approach based on the micrographs of calcium carbonate fouling crystals is presented.The box-counting method is used to characterize the fouling crystals.For fractal measurements,t-distribution tests of linear regression hypothesis are performed at the significance level of 0.01.If all listed absolute t-statistics with the minimum of 164 are higher than the corresponding t value,the fouling crystals are determined as fractal,with a confidence level of 99%.The fractal dimensions obtained from the micrographs of different visual fields of a specimen are demonstrated to be almost identical,with maximum and minimum relative values of 4.42%and 0.75%,respectively,and standard deviations ranging from 0.0062 to 0.0266.The irregularity of the crystal morphology indicates larger fractal dimensions.Comparison and analysis of the relationship between macroscopic fouling behavior and micromorphology show that the larger fractal dimension of crystal morphology suggests a small amount of surface fouling.Thus,the reasons for the differences in the macroscopic fouling behaviors of different materials are revealed geometrically.
文摘The competition among modem enterprises has been converted from products to capability. As the basis of competition, production system can't win the market unless it takes advantage of its capability in competition. Here in this article, the evolutionary rules of production system contributing to the establishment, renovation, reform, invention and promotion of the production of modem enterprises are observed.
文摘The equipment manufacture industry occupies the important position in our national economy, and the research on its core competitiveness is an important aspect of protecting the healthy development of equipment manufacture industry. Researches on core competitiveness of equipment manufacture industry are to cultivate, strengthen and perfect enterprise's core competitiveness and bring about the advance to enterprise.
基金supported by the National Key Research and Development Program of China (Grant No.2022YFA1004404)the National Natural Science Foundation of China (Grant Nos.U22A20579,42306006&41876004)。
文摘Oceanic submesoscales can significantly influence phytoplankton production and export owing to their similar timescales of days.Based on two-year Biogeochemical Argo(BGC-Argo) observations,this study investigated the development of submesoscale instabilities,particularly symmetric and mixed-layer baroclinic instabilities,and their impacts on biological production and export in the oligotrophic South China Sea basin.In the northern basin,near-surface winter blooms consistently cooccurred with seasonally deepened mixed layers.However,significantly stronger and weaker winter blooms were observed over two consecutive winters within the BGC-Argo observation period.During the first winter,symmetric-instability-induced upward nutrient entrainment played a crucial role in initiating the strong winter bloom in early December,when the mixed layer was approximately 20–30 m shallower than the nutricline.This bloom occurred approximately 20–30 days earlier than that anticipated owing to the contact between the seasonally deepened mixed layer and mesoscale-cyclone-induced uplifted nutricline.The symmetric instability also facilitated the export of fixed phytoplankton carbon from the surface to deeper layers.Conversely,during the second winter,remarkably intense mixed-layer baroclinic instability associated with an intense mesoscale anticyclone led to more significant shoaling of the mixed layer compared to the nutricline,thus increasing the vertical distance between the two layers.Under this condition,upward nutrient injection,phytoplankton bloom,and carbon export were suppressed.In contrast,the BGC-Argo float in the central basin revealed significantly inhibited seasonality of phytoplankton biomass and submesoscale instabilities compared to those in the northern basin,primarily owing to the significantly shallower winter mixed layer.
基金funded by the National Key Research and Development Program of China(grant number:2017YFD0600404)National Natural Science Foundation of China(grant number:41871278&32071759)forest parameter inversion by integrating LiDAR and multiple angle optical data for the terrestrial ecosystem carbon inventory satellite(2016K-10&YGD-202100105737-006-001).
文摘Forest Stock Volume(FSV)is one of the key indicators in forestry resource investigation and management on local,regional,and national scales.Limited by the saturation problems of optical satellite remote-sensing imagery in the retrieving of stock volume,and the high cost of Light Detection And Ranging(LiDAR)data,it is still challenging to estimate FSV in a large area using single-sensor remote-sensing data.In this paper,a method integrated multispectral satellite imagery and LiDAR data was developed to map stock volume in a large area.A random forest model was adopted to estimate the stock volume of larch forest in China based on the training samples from the Airborne Laser Scanning(ALS)-derived stock volume and corresponding Sentinel-2 imagery.Validation using National Forest Inventory(NFI)data,ALS-derived stock volume and ground investigation data demonstrated that the estimated stock volume had a high accuracy(R2=0.59,RMSE=59.69 m^(3)/ha,MD=39.96 m^(3)/ha when validated with NFI data;R2 ranged from 0.77 to 0.85,RMSE ranged from 38.68 m^(3)/ha to 67.38 m^(3)/ha,MD ranged from 24.90 m^(3)/ha to 37.27 m^(3)/ha when validated with ALS stock volume;R2=0.42,RMSE=79.10 m^(3)/ha,MD=62.06 m^(3)/ha when validated with field investigation data).Results of this paper indicated the applicability of estimating stock volume of larch forest in a large area by combining Sentinel-2 data and airborne LiDAR data.
基金Supported by Shanghai Health Bureau Research Grant Program(Young Funding Program,No.2011QL031B)State Key Clinical Department of TCM pediatrics
文摘OBJECTIVE: To discuss the mechanism of Yiqiyang- yin recipe in rats with adriamycin (ADR)-induced ne- phropathyo METHODS: We randomly divided 30 Sprague-Daw- ley rats into 5 groups: control, model, glucocorti- coid, Chinese herb, and Chinese herb plus glucocor- ticoid groups. The 24-h urine volume was collected on days 7, 14, 21, and 28 after ADR injection, and all rats were killed on day 28. We measured the 24-h levels of urinary protein, serum cholesterol, and se- rum triglycerides, and renal function of all rats by using routine biochemical methods. Pathological changes in the rat kidneys were observed under light and electron microscopes. Heparanase (HPA) mRNA expression levels were measured using re-al-time fluorescence-quantitative polymerase chain reaction. Urine levels of HPA in all groups were measured using enzyme-linked immunosor- bent assay. The expression of nephrin was detected by immunohistochemical staining and quantitative- ly analyzed using Motic image analysis 3.2 software. RESULTS: The levels of urinary protein and serum triglycerides and cholesterol in rats with ADR-in- duced nephropathy increased on day 14. The se- rum albumin levels simultaneously decreased. All the changes reached the peak on day 28. Examina- tion under the light microscope showed inflamma- tory cells and slight fibroplasia in the renal intersti- tium in the model group, but fewer inflammatory cells were observed in the intervention groups than those in the model group. Examination under the electron microscope showed extensive fusion of foot processes in ADR rats. HPA mRNA expres- sion was higher in the model group than that in the control group. The HPA mRNA levels in the in- tervention groups, especially in the Chinese herb group, and Chinese herb plus glucocorticoid group were significantly lower than the level in the model group. The HPA expression levels correlated signifi- cantly with the proteinuria level. No significant dif- ference was found in the HPA level in urine be- tween the intervention groups and the model group, whereas the model group had a higher uri- nary HPA level than the control group. Nephrin mRNA expression levels in the model group were higher than those in the control group. Nephrin mRNA expression levels were significantly lower in the intervention groups than that in the model group, especially the Chinese herb plus glucocorti- cold group. Compared with the control group, themodel group showed increased nephrin expression in the kidney. Nephrin levels in the other groups, es- pecially in the Chinese herb plus glucocorticoid group, were significantly lower than that in the model group. The nephrin levels in the kidney were negatively correlated with the proteinuria level. CONCLUSION: Yiqiyangyin recipe could attenuate foot process injury particularly in combination with a steroid reduce the development of proteinuria possibly by inhibition of HPA in the kidney, and reg- ulate the expression of nephrin in rats with ADR-in- duced nephropathy. Our study showed that treat- ment with Yiqiyangyin recipe plus glucocorticoid was better than a singular intervention, and we ex- plored the pharmacological mechanism of this combination by biochemical and molecular biologi- cal analysis to provide a basis for clinical applica- tion.
基金The authors would like suggestions and express their sincere gratitude valuable discussion. The second author (Zhao) Natural Science Foundation of China (Grant No. Funds for the Central Universities. to thank the referees for many helpful to Professor Bangming Deng for many was partially supported by the National 11226063) and the Fundamental Research
文摘We consider the Borcherds-Cartan matrix obtained from a symmetrizable generalized Cartan matrix by adding one imaginary simple root. We extend the result of Gebert and Teschner [Lett. Math. Phys., 1994, 31: 327-334] to the quantum case. Moreover, we give a connection between the irreducible dominant representations of quantum Kac-Moody algebras and those of quantum generalized Kac-Moody algebras. As the result, a large class of irreducible dominant representations of quantum generalized Kac-Moody algebras were obtained from representations of quantum Kac-Moody algebras through tensor algebras.