On the number of \(\tau\)-tilting modules over Nakayama algebras

DOI10.3842/SIGMA.2020.058zbMath1443.16019arXiv2002.02990OpenAlexW3009214402MaRDI QIDQ2190684

Ralf Schiffler, Hanpeng Gao

Publication date: 21 June 2020

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02990

zbMATH Keywords

Nakayama algebras\(\tau\)-tilting modulessupport \(\tau\)-tilting modules

Mathematics Subject Classification ID

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

Related Items (4)

Counting the number of \(\tau\)-exceptional sequences over Nakayama algebras ⋮ The classification of \(\tau\)-tilting modules over algebras of type \(D_n\) ⋮ τ-Tilting modules over one-point extensions by a simple module at a source point ⋮ On the number of $\tau $-tilting modules over the Auslander algebras of radical square zero Nakayama algebras

Cites Work

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• Tilted Algebras
• Semibricks
• -tilting theory
• Cluster-tilted algebras as trivial extensions
• Quivers with relations arising from clusters (𝐴_{𝑛} case)
• The classification of \(\tau\)-tilting modules over Nakayama algebras

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