Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups

Generalov, A.

doi:10.1090/S1061-0022-06-00942-3

Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups
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by A. I. Generalov
Translated by: the author

St. Petersburg Math. J. 18 (2007), 37-76

DOI: https://doi.org/10.1090/S1061-0022-06-00942-3

Published electronically: November 27, 2006

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Abstract:

In terms of generators and defining relations, a description is given of the Hochschild cohomology algebra for one of the series of local algebras of quaternion type. As a corollary, the Hochschild cohomology algebra is described for the group algebras of generalized quaternion groups over algebraically closed fields of characteristic 2.

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