The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero

JOURNAL OF ALGEBRA

卷:320

Article

Sanchez-Flores, Selene

关键词: Hochschild cohomology;    Gerstenhaber bracket;    Monomial algebras;   

DOI  :  10.1016/j.jalgebra.2008.08.027

来源: Elsevier

【 摘 要 】

We study the Lie module structure given by the Gerstenhaber bracket on the Hochschild cohomology groups of a monomial algebra with radical square zero. The description of such Lie module structure will be given in terms of the combinatorics of the quiver. The Lie module structure will be related to the classification of finite dimensional modules over simple Lie algebras when the quiver is given by the two loops and the ground field is the complex numbers. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free