The Hochschild cohomology algebra for a family of self-injective algebras of the tree class $D_n$
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Yu. V. Volkov
Translated by: the author - St. Petersburg Math. J. 23 (2012), 851-879
- DOI: https://doi.org/10.1090/S1061-0022-2012-01220-3
- Published electronically: July 10, 2012
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Abstract:
The Hochschild cohomology algebra for a series of self-injective algebras of the tree class $D_n$ is described in terms of generators and relations. The proof involves the existing description of the minimal bimodule resolvent and of the additive structure for the Hochschild cohomology algebras in question.References
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Bibliographic Information
- Yu. V. Volkov
- Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskaya Ul. 28, Stary Petergof, St. Petersburg 198504, Russia
- Email: wolf86_666@list.ru
- Received by editor(s): May 15, 2010
- Published electronically: July 10, 2012
- Additional Notes: Supported by RFBR (grant no. 10-01-00635a).
- © Copyright 2012 American Mathematical Society
- Journal: St. Petersburg Math. J. 23 (2012), 851-879
- MSC (2010): Primary 13D03
- DOI: https://doi.org/10.1090/S1061-0022-2012-01220-3
- MathSciNet review: 2918425