Classification results for \(n\)-hereditary monomial algebras
From MaRDI portal
Publication:6199049
DOI10.1016/j.jpaa.2023.107581arXiv2101.12746OpenAlexW3126412856MaRDI QIDQ6199049
Louis-Philippe Thibault, Mads Hustad Sandøy
Publication date: 23 February 2024
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.12746
Auslander-Reiten theorypreprojective algebraselfinjective algebraCalabi-Yau algebra\(n\)-hereditary algebra\(n\)-representation-finite algebra
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximal modifications and Auslander-Reiten duality for non-isolated singularities
- Cluster tilting for higher Auslander algebras.
- The structure of AS-Gorenstein algebras.
- Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
- Auslander correspondence.
- Graded, selfinjective, and Koszul algebras
- The cohomology ring of a monomial algebra.
- The alternating syzygy behavior of monomial algebras
- \(n\)-cluster tilting subcategories of representation-directed algebras
- Higher Nakayama algebras. I: Construction
- Self-injective Jacobian algebras from Postnikov diagrams
- Simplicial structures in higher Auslander-Reiten theory
- Preprojective algebra structure on skew-group algebras
- Higher Auslander correspondence for dualizing \(R\)-varieties
- Stable categories of higher preprojective algebras.
- \(n\)-representation infinite algebras.
- Graded Calabi Yau algebras of dimension 3.
- n -representation-finite algebras and twisted fractionally Calabi-Yau algebras
- Deformed Calabi–Yau completions
- Mutation of cluster-tilting objects and potentials
- $n$-representation-finite algebras and $n$-APR tilting
- Selfinjective quivers with potential and 2-representation-finite algebras
- Truncated path algebras are homologically transparent
- The preprojective algebra of a tame hereditary artin algebra
- Koszul Duality Patterns in Representation Theory
- Higher preprojective algebras, Koszul algebras, and superpotentials
- Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday
- Representation Theory of Geigle-Lenzing Complete Intersections