Combinatorial Auslander-Reiten quivers and reduced expressions

DOI10.4134/JKMS.j180190zbMath1453.16014arXiv1509.04820OpenAlexW2962752683MaRDI QIDQ5229376

Se-jin Oh, Uhi Rinn Suh

Publication date: 15 August 2019

Full work available at URL: https://arxiv.org/abs/1509.04820

zbMATH Keywords

reduced expressionscombinatorial AR-quiver

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Connections of Hopf algebras with combinatorics (16T30)

Related Items (9)

Isomorphisms among quantum Grothendieck rings and propagation of positivity ⋮ Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality ⋮ Categorical relations between Langlands dual quantum affine algebras: exceptional cases ⋮ The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications ⋮ \(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras ⋮ Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm ⋮ Q-data and representation theory of untwisted quantum affine algebras ⋮ Categorical relations between Langlands dual quantum affine algebras: doubly laced types ⋮ Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality
• Quantum groups at roots of 1
• Finite dimensional representations of Khovanov-Lauda-Rouquier algebras. I: Finite type
• Young tableaux, multisegments, and PBW bases
• Extremal cocycles of Weyl groups
• On commutation classes of reduced words in Weyl groups
• PBW basis of quantized universal enveloping algebras
• Quantum Grothendieck rings and derived Hall algebras
• Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II
• Poincaré-Birkhoff-Witt bases and Khovanov-Lauda-Rouquier algebras
• Homological properties of finite-type Khovanov-Lauda-Rouquier algebras.
• Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality
• Quiver Hecke Algebras and 2-Lie Algebras
• Canonical bases and KLR-algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• A diagrammatic approach to categorification of quantum groups I
• A Characterization of a Special Ordering in a Root System
• PBW-bases of quantum groups.
• Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality

This page was built for publication: Combinatorial Auslander-Reiten quivers and reduced expressions