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$τ$-tilting finite gentle algebras are representation-finite (1809.06313v3)
Published 17 Sep 2018 in math.RT
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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