Non-abelian Hopf cohomology II-The general case

  • Nuss P
  • Wambst M
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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.

Author-supplied keywords

  • Cosimplicial non-abelian groups
  • Hopf comodule algebra
  • Non-abelian cohomology
  • Torsor

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Authors

  • Philippe Nuss

  • Marc Wambst

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