$\tau$-tilting finite gentle algebras are representation-finite
| Autor: | Pierre-Guy Plamondon |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
010201 computation theory & mathematics General Mathematics 010102 general mathematics Representation (systemics) 0102 computer and information sciences 0101 mathematics Mathematics::Representation Theory 01 natural sciences Mathematics - Representation Theory Mathematics 16G20 16G60 |
| Popis: | 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. Comment: 7 pages. v2: updated references. v3: Fixed proof of Proposition 3.3 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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