查询词典 alexander cohomology module

In Chapters 3 and 4, we study Dirac cohomology of unitary representations with a regular lambda-lowest K-typeμusingθ-stable data.

在第三和第四章，我们利用θ不变参数研究了最小K-型正则的酉表示的Dirac上同调。

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。

The first 10 chapters study cohomolgy of open set in Euclidean space,treat smooth manifolds and their cohomology and end with integration on manifolds.

全书分四章：范畴与函子及其在模论中的应用；特殊模与相应的维数；环模复形的同调理论；谱序列。

This yields the unboundedness of the cohomology of non-trivialA(?kregular DG algebras.

由此可知非平凡的正则DG代数必然是同调无界的。

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。

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。

By means of the difference discrete variational principle, discrete Legendre transformation and discrete version of the E-L cohomology, for a kind of regular meshes we''ve found there is a kind of symplectic/multisymplectic structures with corresponding symplectic/multisymplectic finite element method/mixed finite element method schemes.

利用差分离散变分原理、离散Legendre变换和EL上同调的离散形式，对于正规网格找到一类有限元和混合有限元的辛或多辛结构，以及相应的辛有限元/混合有限元格式。

So before applying Mather's theorem of connecting orbits to concrete Hamiltonian system, we have to check whether the set W〓 is empty or not, and which cohomology classes are C-equivalent. In present paper, by investigating the topological structure of action minimizing sets near a co-dimensional one torus which is preserved under generic perturbations and becomes hyperbolic in nearly integrable Hamiltonian system.

与传统的Poincaré-Melnikov方法相比，我们方法明显优越之处在于，一方面我们的方法不仅可以得到双曲环面之间的异宿轨道，而且当该环面附近的其它环面破裂时，可以得到不同Mather集之间的连接轨道，另一方面，我们把异宿轨的存在性的证明转化为双曲环面极小同宿轨的某种弱孤立性的证明，所需条件比Poincaré-Melnikov方法弱得多。

We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中，我们将同调代数理论与μ基理论相结合，详细分析三次及四次空间有理曲线的动曲面理想生成元，为一般空间有理曲线的动曲面理想生成元的(来源：A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代数中套子代数的局部导子和局部同构以及von Neumann代数的高维局部映射—局部2-上循环，证明了因子von Neumann代数中套子代数的每一个局部强连续导子和局部强连续同构分别是导子和同构；可数套所对应的套子代数的每一个有界局部导子和有界局部同构分别是导子和同构；同时，部分回答了Larson所提的问题；最后，得到von Neumann代数的每一个局部2-上循环是2-上循环。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。