fundamental cocycle

与fundamental cocycle相关的网络例句 [注：此内容来源于网络，仅供参考]

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。

In infinite dimensional RDS, different to finite case, the cocycle can be usually considered only in the positive half-time line.

无穷维的随机动力系(来源：ABd454C论文网www.abclunwen.com)统和有限维的相比，其中的cocycle往往只能定义在正半时间轴上，为此我们首先对无穷维半动力系统进行了负向延拓，使得在负半时间轴上也有定义。

Associated it we define a root system. In a suitable condition we define a Lie algebra to realize this root system, namely, using an Euler cocycle given by intersection matrix, we define an infinitely dimensional vector space with the Lie operation becomes a Lie algebra.

在适当的条件之下，我们给出了该根系的一个李代数实现，即利用该相交矩阵确定的一个欧拉cocycle和根系，我们定义了一个无限维向量空间和李运算，并且证明了这个无限维向量空间在该李运算之下构成一个李代数。

与fundamental cocycle相关的网络解释 [注：此内容来源于网络，仅供参考]

fundamental cocycle：基本上循环

fundamental class 基本类 | fundamental cocycle 基本上循环 | fundamental conjunction 基本合取