Braid group action on the module category of quantum affine algebras

DOI10.3792/pjaa.97.003OpenAlexW3139109824MaRDI QIDQ2231990

Se-jin Oh, Euiyong Park, Myungho Kim, Masaki Kashiwara

Publication date: 1 October 2021

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04939

zbMATH Keywords

quantum affine algebraR-matrixquiver Hecke algebrabraid group actionquantum Grothendieck ring

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Representations of quivers and partially ordered sets (16G20) Monoidal categories, symmetric monoidal categories (18M05)

Related Items

Braid group action on extended crystals, Categories over quantum affine algebras and monoidal categorification

Cites Work

• Unnamed Item
• Cluster algebras and quantum affine algebras
• PBW basis of quantized universal enveloping algebras
• Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras
• Monoidal categories associated with strata of flag manifolds
• Affinizations and R-matrices for quiver Hecke algebras
• Algebraic approach to \(q,t\)-characters
• 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
• Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
• Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality
• On the Monoidality of Saito Reflection Functors