Classifying \(\tau\)-tilting modules over the Auslander algebra of \(K[x]/(x^n)\)

DOI10.2969/jmsj/75117511zbMath1505.16011arXiv1602.05037OpenAlexW2280678919MaRDI QIDQ2004913

Xiaojin Zhang, Osamu Iyama

Publication date: 7 October 2020

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05037

zbMATH Keywords

symmetric grouppreprojective algebratilting moduleAuslander algebra\(\tau\)-tilting module

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (13)

A construction of Gorenstein projective $\tau $-tilting modules ⋮ Classifying tilting modules over the Auslander algebras of radical square zero Nakayama algebras ⋮ τ-tilting modules over trivial extensions ⋮ Lattice theory of torsion classes: Beyond 𝜏-tilting theory ⋮ On the number of tilting modules over a class of Auslander algebras ⋮ A new characterization of Auslander algebras ⋮ Bijections of silting complexes and derived Picard groups ⋮ Self-orthogonal \(\tau\)-tilting modules and tilting modules ⋮ \(\tau\)-rigid modules over Auslander algebras ⋮ Three results for \(\tau\)-rigid modules ⋮ Arc diagrams and 2-term simple-minded collections of preprojective algebras of type \(A\) ⋮ Tilting modules over Auslander algebras of Nakayama algebras with radical cube zero ⋮ On the number of $\tau $-tilting modules over the Auslander algebras of radical square zero Nakayama algebras

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