Cluster tilting modules for mesh algebras
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2021-12-01
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Journal Article
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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.
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published
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630
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112 - 157
Publisher
Elsevier
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02060 - Dep. Biosysteme / Dep. of Biosystems Science and Eng.