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- equivariant cohomology 等变上同调
- These two theorems will be derived later from results on nonabelian cohomology. 这两个定理将在后面由非交换上同调的结果推出。
- Later Chen and Hu[CH] give adeRham model to compute the Chen-Ruan cohomology ring of abelian orbifold. 最近;B.;Chen 和S
- Many properties of twisted conjugate actions can be expressed by the language of nonabelian cohomology, and vise versa. 扭共轭作用的很多性质可以用非交换上同调的语言来表述,反之亦然。
- For a small cover over a polytope, its equivariant cobordism class is determined by the tangential representation set. 摘要多面体上的小覆盖的等变配边类是由它的切表示集所决定的。
- We first prove the theorem on equivariant embedding of symmetric spaces in Lie groups. 首先,我们证明对称空间到李群的等变嵌入定理。
- The condition for a 3D polynomial map to be equivariant is theoretically analyzed and proved. 本指南中的内容将有助于您编写出更好的图形应用程序。
- At the same time,we also find out the optimal estimators in the class of Location-Scale linear equivariant estimators. 同时也讨论了位置-刻度线性同变估计中的最优估计.
- For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. 蔡皋把想象的虚无缥缈的乌托邦具象化。让人感觉到一个实实在在的桃花源。
- But twisted conjugate actions of Lie groups have closed relation with nonabelian cohomology of cyclic groups with coefficients in Lie groups. 而李群的扭共轭作用与循环群以李群为系数的非交换上同调有非常密切的关系。
- Chen and Ruan[CR1] defined a very interesting cohomology theory for orb-ifold, which is now called Chen-Ruan cohomology. Chen 和Y.;Ruan[CR1] 对orbifold 定义了一种非常有意义的上同调理论;现在称为Chen-Ruan 上同调
- Further, we've generalized the famous Liouville's theorem in classical mechanics and linked the Noether theorem with the cohomology. 提出相空间上保体积的一般方程,通常的正则方程是其特殊形式;
- For a general twisted conjugate action, the orbit space can be expressed as the nonabelian cohomology of the infinite cyclic group. 对于一般的扭共轭作用,其轨道空间可以表示为无限循环群的非交换上同调。
- If moreover the automorphism involved is of finite order, some special orbits are related to the nonabelian cohomology of a finite cyclic group. 当扭共轭作用中的自同构为有限阶时,某些特殊的轨道对应于有限循环群的非交换上同调。
- The unfolding of equivariant bifurcation problems with parameter symmetry under a subgroup of left-right equivalence group is discussed. 讨论分歧参数带有对称性的等变分歧问题在左右等价群的一个子群下的开折,分别给出了其开折是平凡和通用的充要条件。
- Some acquaintance with manifolds, simplicial complexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. 再比如渔人从桃花源出来的时候,桃花源的人送给他一包礼物里面有种子和一只拨浪鼓。
- The first of these is the development of an axiomatic treatment of sheaf theory by Grothendieck for the purpose of to define sheaf cohomology. 但是,数学的逻辑推导之前,总需要有一些基本的定义与公理。
- Moreover, some results on nonabelian cohomology of finite cyclic groups with coefficients in Lie groups can be also generalized to the case of finite non-cyclic groups. 而有限循环群李群系数非交换上同调的一些结果,还可以推广到有限非循环群的情况。
- Applying a property of orbit structures of twisted conjugate actions to involutions, we then get the aforementioned equivariant embedding of symmetric spaces in Lie groups. 利用本文中证明的李群扭共轭作用的轨道性质,将扭共轭作用中的自同构取为对合自同构,我们就得到了如上所述的对称空间在李群中的等变嵌入。
- The state variables of such an equivariant bifurcation problem are divided into two groups, in which the first can vary independently, while the other depends on the the first. 将这种等变分歧问题的状态变量分为两组,其中一组的诸状态变量可以独立地变化,而属于另一组的诸状态变量在变化过程中依赖于前一组中的诸状态变量。