Non-Abelian Hopf Cohomology II -- the General Case --
Quantum Algebra
2008-05-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0706.0638,
title = {Non-Abelian Hopf Cohomology II -- the General Case --},
author = {Philippe Nuss and Marc Wambst},
journal= {arXiv preprint arXiv:0706.0638},
year = {2008}
}
Comments
This paper is conceived as the continuation of the article of the same authors entitled "Non-Abelian Hopf Cohomology", J. Algebra t. 312, (2007), no 2, p. 733 -- 754