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$\tau$-tilting finite
gentle algebras are representation-finite
Pierre-Guy Plamondon |
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Vol. 302 (2019), No. 2, 709–716
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Abstract |
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We show that a gentle algebra over a field is -tilting finite if and only if it is representation-finite. The proof relies on the “brick--tilting correspondence” of Demonet, Iyama, and Jasso and on a combinatorial analysis. |
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Keywords
representation theory, $\tau$-tilting theory, finite
representation type, gentle algebras
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Mathematical Subject Classification 2010
Primary: 16G20
Secondary: 16G60
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Milestones
Received: 15 November 2018
Revised: 23 March 2019
Accepted: 23 March 2019
Published: 27 November 2019
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Authors |
| Pierre-Guy Plamondon | |
| Laboratoire de Mathématique
d’Orsay Université Paris-Sud Centre National de la Recherche Scientifique Université Paris-Saclay Orsay France |
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