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幂零表代数(英文) 被引量:1
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作者 海进科 王志俊 《数学杂志》 CSCD 北大核心 2007年第6期641-644,共4页
本文研究了幂零表代数的一个有趣的性质,利用表代数的Jordan-Hlder型定理,证明了表代数满足幂零被幂零扩张仍是幂零的,但有限幂零群没有这样的扩张.
关键词 代数 幂零代数 表子群
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A 9×9 Matrix Representation of Birman-Wenzl-Murakami Algebra and Berry Phase in Yang-Baxter System 被引量:2
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作者 苟立丹 薛康 王刚成 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第2期263-267,共5页
We present a 9×9 S-matrix and E-matrix.A representation of specialized Birman-Wenzl-Murakami algebra is obtained.Starting from the given braid group representation S-matrix,we obtain the trigonometric solution of... We present a 9×9 S-matrix and E-matrix.A representation of specialized Birman-Wenzl-Murakami algebra is obtained.Starting from the given braid group representation S-matrix,we obtain the trigonometric solution of Yang-Baxter equation.A unitary matrix R(x,φ1,φ2)is generated via the Yang-Baxterization approach.Then we construct a Yang-Baxter Hamiltonian through the unitary matrix R(x,φ1,φ2).Berry phase of this Yang-Baxter system is investigated in detail. 展开更多
关键词 Birman-Wenzl-Murakami algebra Yang Baxter equation Berry phase
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Coset Structure of Spin Group 被引量:1
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作者 WANG Na WU Ke 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第6期987-994,共8页
This article considers One example is also given to take a the coset structure closer look at what of spin group via analyzing the expression of its representation. the coset and the subgroup are.
关键词 spin group group representation coset structure
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The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert C~*-module l_2(A) 被引量:3
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作者 ZHANG LunChuan GUO MaoZheng 《Science China Mathematics》 SCIE 2014年第2期377-387,共11页
We characterize A-linear symmetric and contraction module operator semigroup{Tt}t∈R+L(l2(A)),where A is a finite-dimensional C-algebra,and L(l2(A))is the C-algebra of all adjointable module maps on l2(A).Next,we intr... We characterize A-linear symmetric and contraction module operator semigroup{Tt}t∈R+L(l2(A)),where A is a finite-dimensional C-algebra,and L(l2(A))is the C-algebra of all adjointable module maps on l2(A).Next,we introduce the concept of operator-valued quadratic forms,and give a one to one correspondence between the set of non-positive definite self-adjoint regular module operators on l2(A)and the set of non-negative densely defined A-valued quadratic forms.In the end,we obtain that a real and strongly continuous symmetric semigroup{Tt}t∈R+L(l2(A))being Markovian if and only if the associated closed densely defined A-valued quadratic form is a Dirichlet form. 展开更多
关键词 Hilbert C*-module quantum Markov semigroup operator-valued Dirichlet forms
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Inverse Problem of Flame Surface Properties of Wood using a Repulsive Particle Swarm Optimization Algorithm 被引量:1
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作者 Kyung-Beom Yoon Won-Hee Park 《Journal of Thermal Science》 SCIE EI CAS CSCD 2015年第2期173-178,共6页
The convective heat transfer coefficient and surface emissivity before and after flame occurrence on a wood specimen surface and the flame heat flux were estimated using the repulsive particle swarm optimization algor... The convective heat transfer coefficient and surface emissivity before and after flame occurrence on a wood specimen surface and the flame heat flux were estimated using the repulsive particle swarm optimization algorithm and cone heater test results. The cone heater specified in the ISO 5660 standards was used, and six cone heater heat fluxes were tested. Preservative-treated Douglas fir 21 mm in thickness was used as the wood specimen in the tests. This study confirmed that the surface temperature of the specimen, which was calculated using the convective heat transfer coefficient, surface emissivity and flame heat flux on the wood specimen by a repulsive particle swarm optimization algorithm, was consistent with the measured temperature. Considering the measurement errors in the surface temperature of the specimen, the applicability of the optimization method considered in this study was evaluated. 展开更多
关键词 Repulsive particle swarm optimization Cone calorimeter Flame heat flux Flame surface properties
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Augmentation Quotients for Complex Representation Rings of Generalized Quaternion Groups
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作者 Shan CHANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第4期571-584,共14页
Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n... Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n(Qm) mid determines the isomorphism class of the n-th augmentation quotient for each positive integer n. 展开更多
关键词 Generalized quaternion groups Representation ring Augmentation quotients
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Trajectory design for the Moon departure libration point mission in full ephemeris model 被引量:3
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作者 CHEN Yang BAOYIN +1 位作者 HeXi LI JunFeng 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第11期2924-2934,共11页
The lunar probe may still have some remaining fuel after completing its predefined Moon exploration mission and is able to carry out some additional scientific or technological tasks after escaping from the Moon orbit... The lunar probe may still have some remaining fuel after completing its predefined Moon exploration mission and is able to carry out some additional scientific or technological tasks after escaping from the Moon orbit.The Moon departure mission for the lunar probe is the focus of this paper.The possibility of the spacecraft orbiting the Moon to escape the Moon's gravitational pull is analyzed.The trajectory design for the Earth-Moon system libration point mission is studied in a full ephemeris dynamical model,which considers the non-uniform motion of the Moon around the Earth,the gravity of the Sun and planets and the finite thrust of the onboard engine.By applying the Particle Swarm Optimization algorithm,the trajectory design for the transfer from the Moon-centered orbit to the L1 halo orbit,the station-keeping strategies for the Earth-Moon halo orbit and the construction of homoclinic and heteroclinic orbits are investigated.Taking the tracking conditions and engineering constraints into account,two feasible schemes for the Moon departure libration point mission for the lunar probe are presented. 展开更多
关键词 Moon exploration trajectory design full ephemeris model libration point halo orbit
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Characteristics of dental morphology in the Xinjiang Uyghurs and correlation with the EDARV370A variant 被引量:5
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作者 TAN JingZe PENG QianQian +6 位作者 LI JinXi GUAN YaQun ZHANG LiPing JIAO Yi YANG YaJun WANG SiJia JIN Li 《Science China(Life Sciences)》 SCIE CAS 2014年第5期510-518,共9页
Teeth are one of the most important materials for anthropological studies because they are likely to be preserved in ancient remains.While the frequencies of dental characteristics can provide clues to the phylogeny o... Teeth are one of the most important materials for anthropological studies because they are likely to be preserved in ancient remains.While the frequencies of dental characteristics can provide clues to the phylogeny of populations,genetic studies at the individual level can further reveal the biological mechanisms and evolutionary context of dental characteristics.In this study,by analyzing 38 dental characteristics of 242 Xinjiang Uyghur individuals,we found that(i)the dental characteristics of the Uyghurs showed evidence of admixture between European and East Asian populations.The admixture proportions were in line with those previously reported in population genetic studies;(ii)the Xinjiang Uyghur dental characteristics formed three clusters in pairwise correlation analysis.One of the main clusters consisted of characteristics including incisor shoveling,double shoveling and mesial ridge;and(iii)all the characteristics in this cluster were significantly correlated with the genetic variant EDARV370A.The extracted composite phenotypic factor was also significantly associated with EDARV370A,which explained 18%of the total phenotypic variance.This indicated a pleiotropic effect,i.e.,the same genetic factor affects a number of dental characteristics at the same time.Our results confirmed that EDARV370A,a genetic variant that first originated in East Asia about 30000 years ago,played an important role in incisor shoveling in East Asia.This finding suggested that incisor shoveling in modern humans in East Asia is likely to have appeared after the late Pleistocene. 展开更多
关键词 Xinjiang Uyghur dental characteristics EDARV370A incisor shoveling association
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REPRESENTATIONS OF SOLVABLE LIE GROUPSAND GEOMETRIC QUANTIZATION
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作者 ZHAOQIANG XIAOLI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第3期351-362,共12页
Representations of solvable Lie groups are realized and classified by geometric quantization of coadjoint orbits through positive polarizations.
关键词 Li group QUANTIZATION POLARIZATION Coadjoint orbit
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FUZZY EPQ INVENTORY MODELS WITH BACKORDER
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作者 Xiaobin WANG Wansheng TANG 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2009年第2期313-323,共11页
This paper considers the economic production quantity (EPQ) problem with backorder in which the setup cost, the holding cost and the backorder cost are characterized as fuzzy variables, respectively. Following expec... This paper considers the economic production quantity (EPQ) problem with backorder in which the setup cost, the holding cost and the backorder cost are characterized as fuzzy variables, respectively. Following expected value criterion and chance constrained criterion, a fuzzy expected value model (EVM) and a chance constrained programming (CCP) model are constructed. Then fuzzy simulations are employed to estimate the expected value of fuzzy variable and c^-level minimal average cost. In order to solve the CCP model, a particle swarm optimization (PSO) algorithm based on the fuzzy simulation is designed. Finally, the effectiveness of PSO algorithm based on the fuzzy simulation is illustrated by a numerical example. 展开更多
关键词 Economic production quantity fuzzy simulation fuzzy variable INVENTORY PSO.
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