Cluster tilting modules for mesh algebras.

Sira Helena Gratz, Karin Erdmann, Lisa Lamberti

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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 G 2, 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.

OriginalsprogEngelsk
TidsskriftLinear Algebra and Its Applications
Vol/bind630
Sider (fra-til)112-157
Antal sider46
ISSN0024-3795
StatusUdgivet - 2021

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