Non-Abelian Hopf Cohomology
K-Theory and Homology
2007-05-23 v2 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.math/0511712,
title = {Non-Abelian Hopf Cohomology},
author = {Philippe Nuss and Marc Wambst},
journal= {arXiv preprint arXiv:math/0511712},
year = {2007}
}
Comments
19 pages