Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups
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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.References
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Bibliographic Information
- A. I. Generalov
- Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Pr. 28, Staryĭ Peterhof, St. Petersburg 198904, Russia
- Received by editor(s): September 19, 2005
- Published electronically: November 27, 2006
- © Copyright 2006 American Mathematical Society
- Journal: St. Petersburg Math. J. 18 (2007), 37-76
- MSC (2000): Primary 13D03
- DOI: https://doi.org/10.1090/S1061-0022-06-00942-3
- MathSciNet review: 2225213