#### 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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