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Non-Abelian Hopf Cohomology

Philippe Nuss·Marc Wambst
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Abstract

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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Philippe Nuss, Marc Wambst. 2006-03-15. Non-Abelian Hopf Cohomology. https://arxiv.org/abs/math/0511712

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