Examples of Sweedler cohomology in positive characteristic
Abstract
In this paper we provide a detailed calculation of the Sweedler cohomology of the algebra of functions on (Z/2)^r, in all degrees, over a field of characteristic 2. The result is strikingly different from the characteristic 0 analog. Then we show that there is a variant in characteristic p of the result obtained by Kassel and the author in characteristic zero, which provides a near-complete calculation of the second lazy cohomology group in the case of function algebras over a finite group.
Keywords
Cite
@article{arxiv.1202.5951,
title = {Examples of Sweedler cohomology in positive characteristic},
author = {Pierre Guillot},
journal= {arXiv preprint arXiv:1202.5951},
year = {2014}
}
Comments
With this update we pretty much revert to version 2 (including the old title), for the good reason that this version has been accepted for publication in Comm. Alg. (without part II which appeared in version 3). So this final paper is identical with the published one