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

被引：0

作者：

Hou, Bo ^{[1
]}

Wu, Jinzhong ^{[1
]}

机构：

[1] Henan Univ, Sch Math & Stat, Kaifeng 475001, Henan, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2023年 / 30卷 / 02期

关键词：

Batalin-Vilkovisky structure; quantum exterior algebra; Hochschild cohomology; BATALIN-VILKOVISKY ALGEBRA; GERSTENHABER BRACKETS; RING;

D O I：

10.1142/S1005386723000172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A(q) = k(x, y)/(x(2), xy + qyx, y(2)) over a field k. We give a clear character-ization of the Batalin-Vilkovisky algebraic structure on Hochschild cohomology of A(q) for any q ? 0, and the Gerstenhaber algebraic structure on Hochschild cohomology of A(q) for q = 0.

引用

页码：205 / 224

页数：20

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