Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra

DOI10.2140/pjm.2023.322.407zbMath1522.81149arXiv2110.01473MaRDI QIDQ6043866

Tomasz Przeździecki

Publication date: 25 May 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01473

zbMATH Keywords

canonical basesLyndon wordsKhovanov-Lauda-Rouquier algebraEnomoto-Kashiwara algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Representations of quivers and partially ordered sets (16G20) Frames, locales (06D22) Structure, classification theorems for modules and ideals in commutative rings (13C05) Categorification (18N25)

Related Items (1)

Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras

Cites Work

• Quantum symmetric Kac-Moody pairs
• Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.
• Crystals from categorified quantum groups
• Canonical bases and affine Hecke algebras of type \(B\).
• Finite dimensional representations of Khovanov-Lauda-Rouquier algebras. I: Finite type
• The Hall module of an exact category with duality.
• Cluster algebras and quantum affine algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Combinatorics of Hall trees and Hall words
• Monoidal categories
• Dual canonical bases, quantum shuffles and \(q\)-characters
• Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras
• Quantum Grothendieck rings and derived Hall algebras
• Representations of cohomological Hall algebras and Donaldson-Thomas theory with classical structure groups
• Quantum affine algebras and affine Hecke algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• A diagrammatic approach to categorification of quantum groups I
• The nil Hecke ring and cohomology of G/P for a Kac-Moody group G
• Generalized quivers associated to reductive groups
• Affine Hecke algebras and generalizations of quiver Hecke algebras of type B
• Morita equivalences for cyclotomic Hecke algebras of type B and D
• A Quiver Construction of Symmetric Crystals
• Introduction to quantum groups

This page was built for publication: Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra