Calculations of Some Groups of Hopf Algebra Extensions
Calculations of Some Groups of Hopf Algebra Extensions
复制标题
部分Hopf代数扩展群的计算
DOI：
10.1006/jabr.1996.6863
复制
发表时间：
1997
影响因子：
0.9
通讯作者：
A. Masuoka
中科院分区：
文献类型：
--
作者：
A. Masuoka
让我们回顾一下具有交换核Mc，x CHAP的群扩张理论。四、设G是群，M是G-模。在M上产生G-模作用的群扩张M_a_E_a_G的等价类构成关于Baer和的群。此外，这一组是2个Ž。同构于上同调群H G，M。将这一理论推广到Wx在某种意义上是交换的Hopf代数扩张理论；S；我们的兴趣仅限于域k上的Hopf代数扩张，其形式如下
w Let us recall the theory of group extensions with abelian kernels Mc, x Chap. IV . Let G be a group and M a G-module. The equivalence classes of group extensions M a E a G giving rise to the G-module action on M form a group with respect to the Baer sum. Furthermore this group is 2Ž . isomorphic to the cohomology group H G, M . The theory is extended to the theory of Hopf algebra extensions which w x are abelian in some sense H; S . We restrict our interests to Hopf algebra extensions over a field k which are of the form