Non-abelian Hopf cohomology II - The general case

JOURNAL OF ALGEBRA

卷:319

Article

Nuss, Philippe¹ 

[1] Univ Strasbourg 1, Inst Rech Math Avancee, F-67084 Strasbourg, France

关键词: non-abelian cohomology;    Hopf comodule algebra;    torsor;    cosimplicial non-abelian groups;   

DOI  :  10.1016/j.jalgebra.2008.02.023

来源: Elsevier

【 摘 要 】

We introduce and study non-abelian cohomology sets of Hopf algebras with coefficients in Hopf comodule algebras. We prove that these sets generalize as well Serre's non-abelian group cohomology theory as the cohomological theory constructed by the authors; in a previous article. We establish their functoriality and compute explicit examples. Further we classify Hopf torsors. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free