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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Hochschild cohomology of the Liu–Schulz algebras
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by A. I. Generalov and N. Yu. Kosovskaya
Translated by: N. Yu. Kosovskaya
St. Petersburg Math. J. 18 (2007), 539-572
DOI: https://doi.org/10.1090/S1061-0022-07-00960-0
Published electronically: May 25, 2007

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.
References
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Bibliographic Information
  • A. I. Generalov
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospect 28, Staryĭ Peterhof, St. Petersburg 198504, Russia
  • N. Yu. Kosovskaya
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospect 28, Staryĭ Peterhof, St. Petersburg 198504, Russia
  • Email: nadyakosovsk@mail.ru
  • Received by editor(s): October 3, 2005
  • Published electronically: May 25, 2007
  • Additional Notes: Supported by RFBR (grant no. 06-01-00200)
  • © Copyright 2007 American Mathematical Society
  • Journal: St. Petersburg Math. J. 18 (2007), 539-572
  • MSC (2000): Primary 16E40, 16E05
  • DOI: https://doi.org/10.1090/S1061-0022-07-00960-0
  • MathSciNet review: 2262583