Non-Abelian Hopf Cohomology of Radford Products

被引：0
|
作者：
Nuss, Philippe [1 ,2 ]
Wambst, Marc [1 ,2 ]
机构：
[1] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France
[2] CNRS, F-67084 Strasbourg, France
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2011年 / 14卷 / 05期
关键词：
Non-abelian cohomology; Radford products; Hopf comodule algebra; Cosimplicial non-abelian groups; Taft algebras; ALGEBRAS;
D O I：
10.1007/s10468-011-9296-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the non-abelian Hopf cohomology theory of Radford products with coefficients in a comodule algebra. We show that these sets can be expressed in terms of the non-abelian Hopf cohomology theory of each factor of the Radford product. We write down an exact sequence relating these objects. This allows to compute explicitly the non-abelian Hopf cohomology sets in large classes of examples.
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页码：977 / 1002
页数：26
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