Cluster tilting modules for mesh algebras

Erdmann, K., Gratz, S. and Lamberti, L. (2021) Cluster tilting modules for mesh algebras. Linear Algebra and Its Applications, 630, pp. 112-157. (doi: 10.1016/j.laa.2021.07.021)

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We study cluster tilting modules in mesh algebras of Dynkin type as defined in [12], providing a new proof for their existence. Except for type G2, we show that these are precisely the maximal rigid modules, and that they are equivariant for a certain automorphism. We further study their mutation, providing an example of mutation in an abelian category which is not stably 2-Calabi-Yau, and explicitly describe the combinatorics.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Gratz, Dr Sira
Authors: Erdmann, K., Gratz, S., and Lamberti, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Linear Algebra and Its Applications
ISSN (Online):1873-1856
Published Online:05 August 2021
Copyright Holders:Copyright © 2021 Elsevier
First Published:First published in Linear Algebra and Its Applications 630:112-157
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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