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.

引用

页码：977 / 1002

页数：26

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