Combinatorial Auslander-Reiten quivers and reduced expressions
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Publication:5229376
DOI10.4134/JKMS.j180190zbMath1453.16014arXiv1509.04820OpenAlexW2962752683MaRDI QIDQ5229376
Publication date: 15 August 2019
Full work available at URL: https://arxiv.org/abs/1509.04820
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
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Cites Work
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- 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
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