Non-abelian Hopf cohomology II-The general case

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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. © 2008 Elsevier Inc. All rights reserved.

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Nuss, P., & Wambst, M. (2008). Non-abelian Hopf cohomology II-The general case. Journal of Algebra, 319(11), 4621–4645. https://doi.org/10.1016/j.jalgebra.2008.02.023

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