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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

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


Author: 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
Published electronically: November 27, 2006
MathSciNet review: 2225213
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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, Universitetskiĭ Pr. 28, Staryĭ Peterhof, St. Petersburg 198904, Russia

DOI: http://dx.doi.org/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): September 19, 2005
Published electronically: November 27, 2006
Article copyright: © Copyright 2006 American Mathematical Society