Endomorphism rings of maximal rigid objects in cluster tubes

DOI10.4064/cm123-1-6zbMath1253.16017arXiv0905.1796OpenAlexW2963329363MaRDI QIDQ2994993

Dagfinn F. Vatne

Publication date: 29 April 2011

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1796

zbMATH Keywords

endomorphism ringsfinite representation typestring algebrasmodule categoriesgentle algebrascluster categories2-Calabi-Yau categoriescluster tubes

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Derived categories and associative algebras (16E35)

Related Items (13)

Cluster algebras arising from cluster tubes I: integer vectors ⋮ Quivers with relations for symmetrizable Cartan matrices. I: Foundations ⋮ Algebras of finite representation type arising from maximal rigid objects ⋮ Maximal rigid subcategories in 2-Calabi-Yau triangulated categories. ⋮ On riedtmann’s Lie algebra of the gentle one-cycle algebra Λ(n−1,1,1) ⋮ Endomorphism Algebras of Maximal Rigid Objects in Cluster Tubes ⋮ Gorenstein properties of simple gluing algebras ⋮ On support \(\tau\)-tilting modules over endomorphism algebras of rigid objects ⋮ From triangulated categories to module categories via localisation ⋮ Cluster algebras arising from cluster tubes ⋮ Lifting to maximal rigid objects in 2-Calabi-Yau triangulated categories ⋮ Cluster algebras arising from cluster tubes. II: the Caldero-Chapoton map ⋮ On Modules over Endomorphism Algebras of Maximal Rigid Objects in 2-Calabi-Yau Triangulated Categories

This page was built for publication: Endomorphism rings of maximal rigid objects in cluster tubes