Generic modules for gentle algebras

JOURNAL OF ALGEBRA

卷:437

Article

Carroll, Andrew T.

关键词: Gentle algebras;    Generic modules;    Canonical decomposition;   

DOI  :  10.1016/j.jalgebra.2015.03.035

来源: Elsevier

【 摘 要 】

In this article, we construct the generic modules in each irreducible component of variety of beta-dimensional modules of a triangular gentle algebra. The construction is completely combinatorial and allows for determination of canonical decomposition of irreducible components as well as calculation of the dimension of the higher self-extension spaces for generic modules. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free