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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Abstract
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 |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| 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 |
| Publisher: | Elsevier |
| ISSN: | 0024-3795 |
| 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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