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量子交换
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  quantum commutative
     A Decomposition Theorem of Quantum Commutative Hopf Module Algebras and Smash Products
     量子交换模代数及其Smash积的直和分解
短句来源
     Quantum Commutative Comodule Algebras and Categories of Relative Hopf Modules
     量子交换余模代数与相对Hopf模范畴
短句来源
     Homological Dimension of Quantum Commutative Algebra
     量子交换代数的整体同调维数
短句来源
  “量子交换”译为未确定词的双语例句
     Studies on Quantum Exchange Action of the Magnetic Material
     铁磁材料量子交换作用研究
短句来源
  相似匹配句对
     An Expression of Quantum Electrochemistry for Exchange Current
     量子电化学的交换电流表达式
短句来源
     Homological Dimension of Quantum Commutative Algebra
     量子交换代数的整体同调维数
短句来源
     Quantum control theory
     量子控制论
短句来源
     QUANTUM KEY DISTRIBUTION
     量子密码术
短句来源
     Exchange of Identity
     身份的交换
短句来源
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  quantum commutative
The monoidal functors on the category of representations ofH is studied, and a universal quantum commutative algebraSeR(M) and a dual H°-comoduleM° for any H-moduleM with an integrale are constructed.
      
Determinants, integrality and Noether's theorem for quantum commutative algebras
      
The aim of this paper is to generalize Noether's theorem for finite groups acting on commutative algebras, to finite-dimensional triangular Hopf algebras acting on quantum commutative algebras.
      


By using the self-consistent LMTO method which is built on the framework of density finctional theory, the equation of state of fcc copper at zero temperature is calculated in the region of compression ratio from 1 to 4.5. the comparisons of our results with those obtained by two semiempirical methods, those by Albers et al. andTFC data at high pressure show clearly that the results are reasonable. The further research will be able to provide the theoretical basis for correcting the semiempirical methods, find...

By using the self-consistent LMTO method which is built on the framework of density finctional theory, the equation of state of fcc copper at zero temperature is calculated in the region of compression ratio from 1 to 4.5. the comparisons of our results with those obtained by two semiempirical methods, those by Albers et al. andTFC data at high pressure show clearly that the results are reasonable. The further research will be able to provide the theoretical basis for correcting the semiempirical methods, find out the similarities and differences between energy band method and TFC thery and improve the understanding of the interactions of a many body system.

用密度泛函框架下的自治LMTO方法,在计算一系列品格常数的Cu的能带结构的基础上,计算了Cu的零温物态方程。压缩度为1.0~4.5。计算结果与两种基于实验数据的半经验方法所得结果以及Albers等人的计算结果进行了比较,其高压部分亦与带量子交换修正的TFC模型结果作了比较,说明计算结果是合理的。进一步的研究可为修正半经验方法提供依据,弄清与TFC理论的异同,对多体系统相互作用有更进一步的了解。

In this paper we prove that any finite dimensional quantum commutative Hopf module algebra A can be uniquely decomposed into a direct sum of indecomposable Hstable ideas of A, and such a decomposition induces a decomposition of the smash product algebra; also the dual relation of quantum commutative module algebras and comodule algebras will be discussed.

本文证明了有限维量子交换模代数可以唯一分解成不可分解的H-稳定理想的直和,且这样的分解导致相应的Smash积代数的一个分解;同时讨论了量子交换模代数与量子交换余模代数之间的对偶关系.).若(H,R)是有限维拟三角Hopf代数,则R诱导H*上的双线性型σR:x,y∈H*,σR(x,y)=Σ<R(1),x><R(2),y>;类似地,若(H,σ)的是有限维辫化Hopf代数,则σ诱导上的元素命题1.1设H为有限维Hopf代数,则:1)(H,R)为拟三角Hopf代数当且仅当(H*,σR)为辫化Hopf代数.2)(H,σ)为辫化Hopf代数当且仅当(H*,Rσ)为拟三角hopf代数.证首先,事实上,不妨设是H与H*的对偶基,则因此因此其次,可证(H,R)满足QT1,QT2,QT3蕴含(H*,σR)满足B1,B2,B3,事实上,σR(xy,类似地由R满足QT2得σR满足B2;因此,由△op(h)R=R△(h)得σR满足B3.易见R可逆当且仅当σR可逆,σ可逆当且仅当σR可逆.类似可证(H,σ)满足B1,B2,B3,蕴含(H*,Rσ)满足QT1,QT2,QT3.因此命题得证.命题1.2设H...

本文证明了有限维量子交换模代数可以唯一分解成不可分解的H-稳定理想的直和,且这样的分解导致相应的Smash积代数的一个分解;同时讨论了量子交换模代数与量子交换余模代数之间的对偶关系.).若(H,R)是有限维拟三角Hopf代数,则R诱导H*上的双线性型σR:x,y∈H*,σR(x,y)=Σ<R(1),x><R(2),y>;类似地,若(H,σ)的是有限维辫化Hopf代数,则σ诱导上的元素命题1.1设H为有限维Hopf代数,则:1)(H,R)为拟三角Hopf代数当且仅当(H*,σR)为辫化Hopf代数.2)(H,σ)为辫化Hopf代数当且仅当(H*,Rσ)为拟三角hopf代数.证首先,事实上,不妨设是H与H*的对偶基,则因此因此其次,可证(H,R)满足QT1,QT2,QT3蕴含(H*,σR)满足B1,B2,B3,事实上,σR(xy,类似地由R满足QT2得σR满足B2;因此,由△op(h)R=R△(h)得σR满足B3.易见R可逆当且仅当σR可逆,σ可逆当且仅当σR可逆.类似可证(H,σ)满足B1,B2,B3,蕴含(H*,Rσ)满足QT1,QT2,QT3.因此命题得证.命题1.2设H为有限维Hopf代数,则1)若(H?

The category H_M of (left) modules over a quasitriangular Hopf algebra H and the category M ̄H' of (right) H'-comodules over a braided Hopf algebra H' are typical examples of braided monoidal categories. M. Cohen et al. showed that the category (A#H)_M of (left) modules over the smash product algebra A # H associated to a quantum commutative algebra A in H_M is monoidal. we examine a dual situation, that is, a quantum commutativealgebra A in M ̄H', and show that the category of relative [A, H']-Hopf modules is...

The category H_M of (left) modules over a quasitriangular Hopf algebra H and the category M ̄H' of (right) H'-comodules over a braided Hopf algebra H' are typical examples of braided monoidal categories. M. Cohen et al. showed that the category (A#H)_M of (left) modules over the smash product algebra A # H associated to a quantum commutative algebra A in H_M is monoidal. we examine a dual situation, that is, a quantum commutativealgebra A in M ̄H', and show that the category of relative [A, H']-Hopf modules is monoidal.

拟三角Hopf代数H的(左)模范畴HM与辫化Hopf代数H'的(右)余模范畴MH'都是辫化单式范畴,考虑其中的量子交换代数A,M.Cohen等证明相应Smash积代数A#H的模范畴A#HM是一个单式范畴.本文考虑一种对偶情形,设A是H'-交换代数,则(A,H')-Hopf模范畴是单式范畴.

 
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