Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras

DOI10.1016/j.jalgebra.2019.06.013zbMath1419.81023arXiv2011.03611OpenAlexW2953368704WikidataQ112881702 ScholiaQ112881702MaRDI QIDQ2314987

Uhi Rinn Suh, Se-jin Oh

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/2011.03611

zbMATH Keywords

denominator formulas\(r\)-cluster pointfolded AR-quiversfolded distance polynomialslongest elementtwisted AR-quiverstwisted Coxeter elements

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 (10)

Isomorphisms among quantum Grothendieck rings and propagation of positivity ⋮ Simply laced root systems arising from quantum affine algebras ⋮ 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 ⋮ Monoidal categorification and quantum affine algebras. II ⋮ PBW theoretic approach to the module category of quantum affine algebras ⋮ Categories over quantum affine algebras and monoidal categorification ⋮ Q-data and representation theory of untwisted quantum affine algebras ⋮ Toroidal Grothendieck rings and cluster algebras ⋮ Categorical crystals for quantum affine algebras

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