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arXiv · 1809.06313

$\tau$-tilting finite gentle algebras are representation-finite

Pierre-Guy Plamondon
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Abstract

We show that a gentle algebra over a field is $\tau$-tilting finite if and only if it is representation-finite. The proof relies on the "brick-$\tau$-tilting correspondence" of Demonet-Iyama-Jasso and on a combinatorial analysis.

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BibTeXRIS

Pierre-Guy Plamondon. 2018-09-17. $\tau$-tilting finite gentle algebras are representation-finite. https://doi.org/10.2140/pjm.2019.302.709

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