Computations of the Hochschild Cohomology of Group Algebras

Details Computations of the Hochschild Cohomology of Group Algebras Computations of the Hochschild Cohomology of Group Algebras

2011-10-19

arxiv.org/abs/1110.4341v1

Mathematics

Representation Theory

Scientific paper

The Hochschild cohomology ring of a group algebra is an object that has received recent attention, but is difficult to compute, in even the simplest of cases. In this paper, we use the product formula due to Witherspoon and Siegel to extend some of their computations. In particular, we compute the Hochschild cohomology algebra of group algebras kG where |G| is less than 16, and we provide an alternative computation of the ring $HH^*(k(E \ltimes P))$ considered by Kessar and Linckelmann.

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