Non-Abelian Hopf Cohomology

Details Non-Abelian Hopf Cohomology Non-Abelian Hopf Cohomology

2005-11-29

arxiv.org/abs/math/0511712v2

Mathematics

K-Theory and Homology

19 pages

Scientific paper

We introduce non-abelian cohomology sets of Hopf algebras with coefficients
in Hopf modules. We prove that these sets generalize Serre's non-abelian group
cohomology theory. Using descent techniques, we establish that our construction
enables to classify as well twisted forms for modules over Hopf-Galois
extensions as torsors over Hopf-modules.

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