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Hochschild cohomology of the Liu-Schulz algebras

Author(s): A. I. Generalov; N. Yu. Kosovskaya
Translated by: N. Yu. Kosovskaya
Original publication: Algebra i Analiz, tom 18 (2006), nomer 4.
Journal: St. Petersburg Math. J. 18 (2007), 539-572.
MSC (2000): Primary 16E40, 16E05
Posted: May 25, 2007
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Abstract: A description of the Hochschild cohomology algebra for the symmetric 8-dimensional algebras found by Liu and Schulz is given in terms of generators and relations. The dimensions of the cohomology groups are calculated.

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Additional Information:

A. I. Generalov
Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii Prospect 28, Staryi Peterhof, St. Petersburg 198504, Russia

N. Yu. Kosovskaya
Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii Prospect 28, Staryi Peterhof, St. Petersburg 198504, Russia
Email: nadyakosovsk@mail.ru

DOI: 10.1090/S1061-0022-07-00960-0
PII: S 1061-0022(07)00960-0
Keywords: Symmetric algebra, Hochschild cohomology
Received by editor(s): 3/OCT/2005
Posted: May 25, 2007
Additional Notes: Supported by RFBR (grant no. 06-01-00200)
Copyright of article: Copyright 2007, American Mathematical Society

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