Hochschild cohomology of the Liu–Schulz algebras
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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
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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.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