Morphisms and extensions between bricks over preprojective algebras of type A

DOI10.1016/j.jalgebra.2023.10.019arXiv2303.11513OpenAlexW4388312826MaRDI QIDQ6144373

Eric J. Hanson, Xinrui You

Publication date: 29 January 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.11513

zbMATH Keywords

gentle algebrasnoncrossing arc diagramsweak exceptional sequences

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorics of exceptional sequences in type A
• Stratifying systems through \(\tau\)-tilting theory
• Almost split sequences in subcategories
• Modules without self-extensions over gentle algebras
• Coxeter-bicatalan combinatorics
• Stratifying systems via relative simple modules.
• Maps between representations of zero-relation algebras
• Bricks over preprojective algebras and join-irreducible elements in Coxeter groups
• \(\tau\)-exceptional sequences
• Arc diagrams and 2-term simple-minded collections of preprojective algebras of type \(A\)
• Pairwise compatibility for 2-simple minded collections. II: Preprojective algebras and semibrick pairs of full rank
• Cambrian combinatorics on quiver representations (type \(\mathbb{A})\)
• Minimal inclusions of torsion classes
• Rigid modules over preprojective algebras.
• Classifying \(\tau\)-tilting modules over preprojective algebras of Dynkin type
• The size of a stratifying system can be arbitrarily large
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• On Standardly Stratified Algebras
• On the exceptional fibres of Kleinian singularities
• Lattice structure of Weyl groups via representation theory of preprojective algebras
• A Geometric Model for the Module Category of a Gentle Algebra
• On the Combinatorics of Gentle Algebras
• On Extensions for Gentle Algebras
• $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
• Noncrossing Arc Diagrams and Canonical Join Representations
• Weak orders on symmetric groups and posets of support τ-tilting modules
• -tilting theory
• Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras
• τ-Cluster morphism categories and picture groups
• Weak exceptional sequences
• Lattice theory of torsion classes: Beyond 𝜏-tilting theory

This page was built for publication: Morphisms and extensions between bricks over preprojective algebras of type A