Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups

Generalov, A.

doi:10.1090/S1061-0022-10-01089-7

Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups
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by A. I. Generalov
Translated by: the author

St. Petersburg Math. J. 21 (2010), 163-201

DOI: https://doi.org/10.1090/S1061-0022-10-01089-7

Published electronically: January 21, 2010

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Abstract:

For a family of local algebras of semidihedral type over an algebraically closed field of characteristic 2, the Hochschild cohomology algebra is described in terms of generators and relations. The calculations are based on the construction of a bimodule resolution for the algebras in question. As a consequence, the Hochschild cohomology algebra is described for the group algebras of semidihedral groups.

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