Non-Abelian Hopf Cohomology II -- the General Case --
Abstract
Description
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.
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
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