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

Author(s): A. I. Generalov
Translated by: the author
Original publication: Algebra i Analiz, tom 18 (2006), nomer 1.
Journal: St. Petersburg Math. J. 18 (2007), 37-76.
MSC (2000): Primary 13D03
Posted: November 27, 2006
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Abstract | References | Similar articles | Additional information

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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Additional Information:

A. I. Generalov
Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii Pr. 28, Staryi Peterhof, St. Petersburg 198904, Russia

DOI: 10.1090/S1061-0022-06-00942-3
PII: S 1061-0022(06)00942-3
Keywords: Algebras of quaternion type, Hochschild cohomology, generalized quaternion groups
Received by editor(s): 19/SEP/2005
Posted: November 27, 2006
Copyright of article: Copyright 2006, American Mathematical Society

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