上同调群

词组短语

cohomology group

与上同调群相关的网络例句 [注：此内容来源于网络，仅供参考]

Let L and P be Lie color algebras and let M be a graded module over P, the crossed modules which make M as their kernal and P as their cokernal are considered. It is shown that under a suitable equivalent relation, there is a bijection between the set of the equivalent classes CML and the homogeneous components of degree zero of H~3.

从交叉模的定义出发，对于给定的Lie color代数L，P以及阶化P模M，考虑所有以M为核、以P为余核的L的交叉模，在这些交叉模之间定义了一个等价关系，由此得到交叉模的等价类集CML，证明了CML与三维上同调群H~3的零次齐次部分之间存在一一对应，从而可以利用三维上同调群对Lie color代数的交叉模进行分类。

It proves that the first cohomology group of Block Lie algebraL with coefficients inL-module V is trivial.

证明了系数在模V上的Block型李代数的一阶上同调群是平凡的。

The main purpose of this thesis is to study the application of the representation theory in Hochschild homology and cohomology groups of algebras, Hopf algebras and quantum groups, which are very active branches at present.

本学位论文主要研究代数表示论在代数的Hochschild同调群和上同调群，Hopf代数和量子群这几个当今很活跃的数学分支中的应用。

In the representation theory of finite-dimensional algebras, combinatorial tools as quivers and their representations provide effective method in computing Hochschild homology and cohomology groups of finite-dimensional algebras.

代数表示论中的组合工具—箭图及其表示的发展和应用，为计算有限维代数的Hochschild同调群与上同调群提供了有效的方法。

In particular, we compute Hochschild homology and cohomology groups of infinitedimensional path algebras and some of their quotient algebras, and we prove that for a general monomial algebra (not necessary finite-dimensional), all Hochschild cohomology groups of positive degrees vanish if and only if its Gabriel quiver is a finite tree.

特别地，我们计算了无限维路代数以及某些商代数的Hochschild同调群和上同调群，而且给出了一般单项代数的各正次Hochschild上同调群为零的充分必要条件，即它的Gabriel箭图是有限树。

Using derivations and skewderivations,we get the dimension of the second cohomology groups of finite-dimensional Lie superalgebras of Cartan type with a non-degenerate associativeform.

利用导子与斜导子，我们又给出了具有非退化结合型的有限维Cartan型李超代数的第二上同调群〓的维数。

In chapter 2, we study a kind of operator algebra acted on the Hilbert space H which is called the closed weakly reducible maximal triangular algebra, denoted by S.

第二章我们研究了一个作用在Hilbert空间Η上的闭弱可约极大三角代数S，证明了S的系数在Β中的任意阶完全有界Hochschild上同调群H_~nS，Β(Η(n≥1)是平凡的。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simon\'s nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

In recent years, the theory of infinite dimensional simple Lie algebra has become an important branch in Lie theory.

近年来无限维单李代数的结构理论以及表示理论已经成为李代数研究中的重要分支，无限维单李代数的构造，自同构群的确定，同构分类，二上同调群的计。。。

与上同调群相关的网络解释 [注：此内容来源于网络，仅供参考]

singular cohomology group：奇异上同调群

奇异扰动|singular perturbation | 奇异上同调群|singular cohomology group | 奇异摄动系统|singularly perturbed system

relative cohomology group：相对上同调群

相对内射模|relative injective module | 相对上同调群|relative cohomology group | 相对同调群|relative homology group

cohomology operation：上同调运算

上同调群|cohomology group; cohomology group | 上同调运算|cohomology operation | 上同伦群|cohomotopy group

cohomology spectral sequence：上同调谱序列

上同调平凡模|cohomologically trivial module | 上同调谱序列|cohomology spectral sequence | 上同调群|cohomology group; cohomology group

relative cohomology theory：相对上同调论

relative cohomology group 相对上同调群 | relative cohomology theory 相对上同调论 | relative colour 关联色

cohomology of a coproduct：上积的上同 调

cohomology exact sequence | 上同调正合序列 | cohomology of a coproduct | 上积的上同 调 | cohomology of a group | 群的上同调

relative homology group：相对同调群

相对上同调群|relative cohomology group | 相对同调群|relative homology group | 相对同伦|relative homotopy

periodic group, torsion group：周期群

周期平行四边形|period parallelogram | 周期群|periodic group, torsion group | 周期上同调|periodic cohomology

singularly perturbed system：奇异摄动系统

奇异上同调群|singular cohomology group | 奇异摄动系统|singularly perturbed system | 奇异同调|singular homology

cohomology of semisimplicial complex：半单纯复形的上同调

cohomology of a group | 群的上同调 | cohomology of semisimplicial complex | 半单纯复形的上同调 | cohomology operators | 上同调算子