Gerstenhaber brackets on Hochschild cohomology of twisted tensor products

被引：10

作者：

Grimley, Lauren ^{[1
]}

Nguyen, Van C. ^{[2
]}

Witherspoon, Sarah ^{[3
]}

机构：

[1] Spring Hill Coll, Dept Math, Mobile, AL 36608 USA

[2] Hood Coll, Dept Math, Frederick, MD 21701 USA

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2017年 / 11卷 / 04期

基金：

美国国家科学基金会;

关键词：

Hochschild cohomology; Gerstenhaber brackets; twisted tensor products; quantum complete intersections; ALGEBRAS; RING;

D O I：

10.4171/JNCG/11-4-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct the Gerstenhaber bracket on Hochschild cohomology of a twisted tensor product of algebras, and, as examples, compute Gerstenhaber brackets for some quantum complete intersections arising in the work of Buchweitz, Green, Madsen, and Solberg. We prove that a subalgebra of the Hochschild cohomology ring of a twisted tensor product, on which the twisting is trivial, is isomorphic, as a Gerstenhaber algebra, to the tensor product of the respective subalgebras of the Hochschild cohomology rings of the factors.

引用

页码：1351 / 1379

页数：29