On the Representation Dimension of Tame Cluster Tilted Algebras

zbMath1474.16044arXiv1705.06357MaRDI QIDQ4986248

Alfredo González Chaio, Sonia Trepode

Publication date: 27 April 2021

Full work available at URL: https://arxiv.org/abs/1705.06357

zbMATH Keywords

representation dimensionAuslander generatorcluster tilted algebraweak representation dimension

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On syzygies over 2-Calabi-Yau tilted algebras
• Representation dimension of cluster-concealed algebras
• Tame algebras and integral quadratic forms
• Cluster-tilted algebras and slices.
• The regular components of the Auslander-Reiten quiver of a tilted algebra
• Constructing torsion pairs
• Radical embeddings and representation dimension.
• On the representation dimension of some classes of algebras.
• On the representation dimension of tilted and laura algebras.
• Tilting theory and cluster combinatorics.
• Representation dimension of exterior algebras
• Cluster algebras I: Foundations
• Cluster-tilted algebras
• Tilted Algebras
• Finiteness of representation dimension
• Tilting in abelian categories and quasitilted algebras

This page was built for publication: On the Representation Dimension of Tame Cluster Tilted Algebras