On the interaction of the Coxeter transformation and the rowmotion bijection

DOI10.4171/JCA/101MaRDI QIDQ6621997

René Marczinzik, Hugh Thomas, Emine Yildirim

Publication date: 21 October 2024

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

zbMATH Keywords

distributive latticesCoxeter transformationrowmotionAuslander regular

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10) Group actions on combinatorial structures (05E18) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Title not available (Why is that?)
• Cluster tilting for higher Auslander algebras.
• Frobenius algebras. I: Basic representation theory.
• Higher-dimensional cluster combinatorics and representation theory
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Auslander correspondence.
• Symmetry and duality on \(n\)-Gorenstein rings.
• The Coxeter transformation on cominuscule posets
• Distributive lattices and Auslander regular algebras
• Some homological properties of category \(\mathcal{O}\). VI
• Selfinjective quivers with potential and 2-representation-finite algebras
• Auslander-Reiten theory revisited
• Spectral analysis of finite dimensional algebras and singularities
• Rowmotion in slow motion
• Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance

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