Let F be an algebraically closed field of prime characteristic p > 2,and g be a simple Lie superalgebra of special type or Hamiltonian type over F.We construct the simple g-modules with non-singular characters of h...Let F be an algebraically closed field of prime characteristic p > 2,and g be a simple Lie superalgebra of special type or Hamiltonian type over F.We construct the simple g-modules with non-singular characters of height more than one,and some simple modules with singular characters of height more than five.Furthermore,for the case of special type Lie superalgebras,we also construct a class of simple modules with regular semisimple characters of height one.All those simple modules mentioned above are proved to be reduced Kac modules.展开更多
Aims Plants can benefit from heterogeneous environments via disproportionately increasing resource harvesting in resource-rich patches.Their initial growing positions with respect to resource patches may thus have imp...Aims Plants can benefit from heterogeneous environments via disproportionately increasing resource harvesting in resource-rich patches.Their initial growing positions with respect to resource patches may thus have important influences on their performance and relative competitive ability.Such impacts may differ between species with contrasting spatial architectures.However,the potential influence of initial growing positions in heterogeneous environment on plant growth and competition has largely been ignored.Methods We grew the phalanx plant Carex neurocarpa and the guerrilla plant Bolboschoenus planiculmis alone or in competition in a heterogeneous environment consisting of high-and low-nutrient soil patches.In treatments without competition,one ramet of each species was grown in either a high-or a low-nutrient patch in the heterogeneous environment.In treatments with competition,a ramet of the target species was grown in either a high-or a low-nutrient patch,and a ramet of the competitor species was grown in the same patch as the target species or an adjacent patch with a different nutrient level.Important Findings Without competition C.neurocarpa produced more biomass and ramets when initially grown in a high-nutrient patch than when initially grown in a low-nutrient patch.With competition,these differences disappeared.Consequently,competitive intensity on C.neurocarpa was higher when it initially grew in a high-nutrient patch than when it initially grew in a low-nutrient patch.These impacts were independent of the initial position of its competitor.By contrast,the initial positions of B.planiculmis did not influence its growth or competitive response.Therefore,in heterogeneous environments,initial growing positions of clonal plants may influence their performance in competition-free environments and may also affect their relative competitive ability,and these effects may depend on spatial architecture of the plants.展开更多
Based on the polarization analysis of teleseismic data,SKS (SKKS) fast-wave directions and delay times between fast and slow shear waves were determined for each of the 111 seismic stations from both permanent and tem...Based on the polarization analysis of teleseismic data,SKS (SKKS) fast-wave directions and delay times between fast and slow shear waves were determined for each of the 111 seismic stations from both permanent and temporary broadband seismograph networks deployed in the Ordos Block and its margins.Both the Silver and Chan and stacking analysis methods were used.In this way,an image of upper mantle anisotropy in the Ordos Block and its margins was acquired.In the western and northern margins of the Ordos Block,the fast-wave directions are consistently NW-SE.The fast-wave directions are mainly NWW-SEE and EW in the southern margin of the Ordos Block.In the eastern margin of the Ordos Block,the fast-wave directions are generally EW,although some run NEE-SWW or NWW-SEE.In the Ordos Block,the fast-wave directions trend near N-S in the north,but switch to near EW in the south.The delay time between fast and slow waves falls into the interval 0.48-1.50 s,and the average delay time at the stations in the Ordos Block is less than that in its margins.We suggest that the anisotropy of the stable Ordos Block is mainly caused by "fossil" anisotropy frozen in the ancient North China Craton.The NE-trending push of the northeastern margin of the Tibetan Plateau has caused NW-SE-trending lithospheric extension in the western and northern margins of the Ordos Block,and made the upper mantle flow southeastwards.This in turn has resulted in the alignment of the upper mantle peridotite lattice with the direction of material deformation.In the southern margin of the Ordos Block,the collision between the North China and Yangtze blocks resulted in the fast-wave direction running parallel to the collision boundary and the Qinling Orogen.Combining this with the APM and velocity structure of the Qinling Orogen,we propose that eastward-directed asthenospheric-mantle channel flow may have occurred beneath the Qinling Orogen.In the eastern margin of the Ordos Block,the complex anisotropic characteristics of the Fenhe Graben and Taihang Orogen may be caused by the interaction of western Pacific Plate subduction,regional extensional tectonics,and the orogeny.For station YCI,the apparent splitting parameters (the fast-wave directions range from 45° to 106° and the delay times range from 0.6 to 1.5 s) exhibit systematic variations as a function of incoming polarization with a periodicity of π/2.This variation can be best explained by a two-layer anisotropic model (φlower=132°,δtlower=0.8 s,φupper=83°,δtupper=0.5 s).The upper layer anisotropy beneath station YCI can again be attributed to "fossil" anisotropy frozen in the ancient North China Craton.The lower layer anisotropy is affected by the tectonic activity of the western Ordos Block.The NW-SE trending extension caused by the NE trending push of the northeastern margin of the Tibetan Plateau affected the deformation of the lower anisotropic layer beneath station YCI.By comparing the fast-wave directions with GPS velocity directions,we see that the crust and upper mantle possibly have vertically coherent deformation in the margins of the Ordos Block,whereas the internal deformation characteristics of the Ordos Block are complex and require further study.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11126062 and 11201293)the Innovation Program of Shanghai Municipal Education Commission(Grant No.13YZ077)
文摘Let F be an algebraically closed field of prime characteristic p > 2,and g be a simple Lie superalgebra of special type or Hamiltonian type over F.We construct the simple g-modules with non-singular characters of height more than one,and some simple modules with singular characters of height more than five.Furthermore,for the case of special type Lie superalgebras,we also construct a class of simple modules with regular semisimple characters of height one.All those simple modules mentioned above are proved to be reduced Kac modules.
基金funded by the National Nature Science Foundation of China(grants 31570413 and 31870610)the Ten-Thousand-Talent Program of Zhejiang Province(2018R52016)the Joint Fund of Zhejiang Provincial Natural Science Foundation(Grant LTZ20C030001).
文摘Aims Plants can benefit from heterogeneous environments via disproportionately increasing resource harvesting in resource-rich patches.Their initial growing positions with respect to resource patches may thus have important influences on their performance and relative competitive ability.Such impacts may differ between species with contrasting spatial architectures.However,the potential influence of initial growing positions in heterogeneous environment on plant growth and competition has largely been ignored.Methods We grew the phalanx plant Carex neurocarpa and the guerrilla plant Bolboschoenus planiculmis alone or in competition in a heterogeneous environment consisting of high-and low-nutrient soil patches.In treatments without competition,one ramet of each species was grown in either a high-or a low-nutrient patch in the heterogeneous environment.In treatments with competition,a ramet of the target species was grown in either a high-or a low-nutrient patch,and a ramet of the competitor species was grown in the same patch as the target species or an adjacent patch with a different nutrient level.Important Findings Without competition C.neurocarpa produced more biomass and ramets when initially grown in a high-nutrient patch than when initially grown in a low-nutrient patch.With competition,these differences disappeared.Consequently,competitive intensity on C.neurocarpa was higher when it initially grew in a high-nutrient patch than when it initially grew in a low-nutrient patch.These impacts were independent of the initial position of its competitor.By contrast,the initial positions of B.planiculmis did not influence its growth or competitive response.Therefore,in heterogeneous environments,initial growing positions of clonal plants may influence their performance in competition-free environments and may also affect their relative competitive ability,and these effects may depend on spatial architecture of the plants.
基金supported by National Natural Science Foundation of China (Grant Nos. 40904023 and 90914005)the Special Project for the Fundamental R & D of Institute of Geophysics,China Earthquake Administration (Grant Nos. DQJB06B06, DQJB10B16)the Special Program of the Ministry of Science and Technology of China (Grant No. 2006FY110100)
文摘Based on the polarization analysis of teleseismic data,SKS (SKKS) fast-wave directions and delay times between fast and slow shear waves were determined for each of the 111 seismic stations from both permanent and temporary broadband seismograph networks deployed in the Ordos Block and its margins.Both the Silver and Chan and stacking analysis methods were used.In this way,an image of upper mantle anisotropy in the Ordos Block and its margins was acquired.In the western and northern margins of the Ordos Block,the fast-wave directions are consistently NW-SE.The fast-wave directions are mainly NWW-SEE and EW in the southern margin of the Ordos Block.In the eastern margin of the Ordos Block,the fast-wave directions are generally EW,although some run NEE-SWW or NWW-SEE.In the Ordos Block,the fast-wave directions trend near N-S in the north,but switch to near EW in the south.The delay time between fast and slow waves falls into the interval 0.48-1.50 s,and the average delay time at the stations in the Ordos Block is less than that in its margins.We suggest that the anisotropy of the stable Ordos Block is mainly caused by "fossil" anisotropy frozen in the ancient North China Craton.The NE-trending push of the northeastern margin of the Tibetan Plateau has caused NW-SE-trending lithospheric extension in the western and northern margins of the Ordos Block,and made the upper mantle flow southeastwards.This in turn has resulted in the alignment of the upper mantle peridotite lattice with the direction of material deformation.In the southern margin of the Ordos Block,the collision between the North China and Yangtze blocks resulted in the fast-wave direction running parallel to the collision boundary and the Qinling Orogen.Combining this with the APM and velocity structure of the Qinling Orogen,we propose that eastward-directed asthenospheric-mantle channel flow may have occurred beneath the Qinling Orogen.In the eastern margin of the Ordos Block,the complex anisotropic characteristics of the Fenhe Graben and Taihang Orogen may be caused by the interaction of western Pacific Plate subduction,regional extensional tectonics,and the orogeny.For station YCI,the apparent splitting parameters (the fast-wave directions range from 45° to 106° and the delay times range from 0.6 to 1.5 s) exhibit systematic variations as a function of incoming polarization with a periodicity of π/2.This variation can be best explained by a two-layer anisotropic model (φlower=132°,δtlower=0.8 s,φupper=83°,δtupper=0.5 s).The upper layer anisotropy beneath station YCI can again be attributed to "fossil" anisotropy frozen in the ancient North China Craton.The lower layer anisotropy is affected by the tectonic activity of the western Ordos Block.The NW-SE trending extension caused by the NE trending push of the northeastern margin of the Tibetan Plateau affected the deformation of the lower anisotropic layer beneath station YCI.By comparing the fast-wave directions with GPS velocity directions,we see that the crust and upper mantle possibly have vertically coherent deformation in the margins of the Ordos Block,whereas the internal deformation characteristics of the Ordos Block are complex and require further study.
