Document Type
Article
Abstract
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomology when the coefficients are in an arbitrary bimodule algebra. When this bimodule algebra is a finite group extension (under a diagonal action) of a quantum symmetric algebra, we give explicitly the graded vector space structure. This yields a complete description of the Hochschild cohomology ring of the corresponding skew group algebra.
Publication Date
9-16-2010
Recommended Citation
Naidu, Deepak, Piyush Shroff, Sarah Witherspoon "Hochschild cohomology of group extensions of quantum symmetric algebras" Proceedings of the American Mathematical Society 139 (2011), no. 5, 1553-1567.
Original Citation
Naidu, Deepak, Piyush Shroff, Sarah Witherspoon "Hochschild cohomology of group extensions of quantum symmetric algebras" Proceedings of the American Mathematical Society 139 (2011), no. 5, 1553-1567.
Legacy Department
Department of Mathematical Sciences
ISSN
0002-9939
Language
eng
Publisher
American Mathematical Society
Comments
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