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

   

 

The Hochschild cohomology algebra for a family of self-injective algebras of the tree class $ D_n$


Author: Yu. V. Volkov
Translated by: the author
Original publication: Algebra i Analiz, tom 23 (2011), nomer 5.
Journal: St. Petersburg Math. J. 23 (2012), 851-879
MSC (2010): Primary 13D03
Published electronically: July 10, 2012
MathSciNet review: 2918425
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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.


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Additional 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\textunderscore666@list.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-2012-01220-3
Keywords: Hochschild cohomology, finite type representations, self-injective algebras
Received by editor(s): May 15, 2010
Published electronically: July 10, 2012
Additional Notes: Supported by RFBR (grant no. 10-01-00635a).
Article copyright: © Copyright 2012 American Mathematical Society