\( \tau \)-tilting finite gentle algebras are representation-finite

DOI10.2140/pjm.2019.302.709zbMath1490.16041arXiv1809.06313OpenAlexW3102867289MaRDI QIDQ2305399

Pierre-Guy Plamondon

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06313

zbMATH Keywords

representation theoryfinite representation typegentle algebras\( \tau \)-tilting theory

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items (10)

On band modules and \(\tau \)-tilting finiteness ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ \( \tau \)-tilting finiteness of biserial algebras ⋮ On \(\tau\)-tilting finiteness of the Schur algebra ⋮ Pairwise compatibility for 2-simple minded collections ⋮ Schemes of modules over gentle algebras and laminations of surfaces ⋮ On \(\tau \)-tilting finite simply connected algebras ⋮ Derived categories of gentle algebras and surface dissections ⋮ Report on the finiteness of silting objects ⋮ τ-Cluster morphism categories and picture groups

Cites Work

• Lattice structure of grid-Tamari orders
• Flat surfaces and stability structures
• Oriented flip graphs of polygonal subdivisions and noncrossing tree partitions
• Gentle algebras arising from surface triangulations.
• Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
• A \(\tau\)-tilting approach to dissections of polygons
• Maps between representations of zero-relation algebras
• Derived equivalences of gentle algebras via Fukaya categories
• CONSISTENCY CONDITIONS FOR DIMER MODELS
• Dimer models and Calabi-Yau algebras
• Quivers with potentials associated to triangulated surfaces
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
• -tilting theory
• CATEGORIFICATION OF SOME LEVEL TWO REPRESENTATIONS OF QUANTUM 𝔰𝔩_n

This page was built for publication: \( \tau \)-tilting finite gentle algebras are representation-finite