BV Structure on Hochschild Cohomology of Quantum Exterior Algebra with Two Variables

Pub Date : 2023-06-01 DOI:10.1142/s1005386723000172
B. Hou, Jinzhong Wu
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Abstract

Let [Formula: see text] over a field [Formula: see text]. We give a clear characterization of the Batalin-Vilkovisky algebraic structure on Hochschild cohomology of [Formula: see text] for any [Formula: see text], and the Gerstenhaber algebraic structure on Hochschild cohomology of [Formula: see text] for [Formula: see text].
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双变量量子外代数Hochschild上同调的BV结构
让[公式:见文本]在一个字段上[公式:见文本]。我们给出了对于任意[公式:见文]的[公式:见文]的在Hochschild上同调上的Batalin-Vilkovisky代数结构的清晰表征,以及对于[公式:见文]的[公式:见文]的在Hochschild上同调上的Gerstenhaber代数结构的清晰表征。
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