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arXiv · 1202.5951

Examples of Sweedler cohomology in positive characteristic

Pierre Guillot
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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.

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Pierre Guillot. 2012-02-27. Examples of Sweedler cohomology in positive characteristic. https://arxiv.org/abs/1202.5951

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