Endomorphism algebras for a class of negative Calabi-Yau categories

JOURNAL OF ALGEBRA

卷:491

Article

关键词: AG-invariant;    Cluster-tilted algebras;    Cuts;    Endomorphism algebras;    Gentle algebras;    Maximal rigid objects;    Orbit categories of the derived category;    Tilings;   

DOI  :  10.1016/j.jalgebra.2017.07.016

来源: Elsevier

【 摘 要 】

We consider an orbit category of the bounded derived category of a path algebra of type An which can be viewed as a - (m + 1)-cluster category, for m >= 1. In particular, we give a characterisation of those maximal m-rigid objects whose endomorphism algebras are connected, and then use it to explicitly study these algebras. Specifically, we give a full description of them in terms of quivers and relations, and relate them with (higher) cluster-tilted algebras of type A. As a by-product, we introduce a larger class of algebras, called tiling algebras. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free