Gerstenhaber algebra of ℤ2 × ℤ2-Galois covering of quantum exterior algebra
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Published:2022-02-09
Issue:
Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. School of Mathematics and Statistics, Henan University, Kaifeng 475001, P. R. China
Abstract
Let [Formula: see text] be the quantum exterior algebras over a field [Formula: see text] with [Formula: see text], [Formula: see text] be the [Formula: see text]-Galois coverings of [Formula: see text]. In this paper, a basis of each degree of Hochschild cohomology of [Formula: see text], the cup product and the Gerstenhaber bracket on Hochschild cohomology of [Formula: see text] are given.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory