Non-Abelian Hopf Cohomology II -- the General Case --

Details Non-Abelian Hopf Cohomology II -- the General Case -- Non-Abelian Hopf Cohomology II -- the General Case --

2007-06-05

arxiv.org/abs/0706.0638v1

Journal of Algebra 319 (2008) 4621--4645

Mathematics

Quantum Algebra

This paper is conceived as the continuation of the article of the same authors entitled "Non-Abelian Hopf Cohomology", J. Alge

Scientific paper

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.

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