Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771798 | Journal of Algebra | 2017 | 26 Pages |
Abstract
We consider an orbit category of the bounded derived category of a path algebra of type An which can be viewed as a â(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Raquel Coelho Simões, Mark James Parsons,