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

DOI10.1016/j.aim.2023.109383arXiv2204.04123OpenAlexW4388643869MaRDI QIDQ6147117

Tomasz Przeździecki, Andrea Appel

Publication date: 1 February 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.04123

zbMATH Keywords

quantum affine algebrasSchur-Weyl dualityKhovanov-Lauda-Rouquier algebrasquantum affine symmetric pairs

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum symmetric Kac-Moody pairs
• Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.
• Canonical bases and affine Hecke algebras of type \(B\).
• Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV
• Symmetric crystals and affine Hecke algebras of type \(B\).
• Cluster algebras and quantum affine algebras
• An exotic Deligne-Langlands correspondence for symplectic groups.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• On automorphisms of Kac-Moody algebras and groups
• Quantum Knizhnik-Zamolodchikov equations and affine root systems
• Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality
• Canonical bases arising from quantum symmetric pairs
• Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras
• Universal K-matrix for quantum symmetric pairs
• Representations of quantum affine algebras
• Quantum Grothendieck rings and derived Hall algebras
• Higher level affine Schur and Hecke algebras
• Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories in general types
• Quantum Schur duality of affine type C with three parameters
• Coxeter categories and quantum groups
• Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II
• Quantum affine algebras and affine Hecke algebras
• Symmetric crystals for \(\mathfrak{gl}_{\infty}\)
• Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
• Symmetric quiver Hecke algebras andR-matrices of quantum affine algebras III: Table 1.
• Monoidal categorification of cluster algebras
• A diagrammatic approach to categorification of quantum groups I
• THE AUGMENTED TRIDIAGONAL ALGEBRA
• Multiparameter quantum Schur duality of type B
• Quiver varieties and symmetric pairs
• Boundary conditions for integrable quantum systems
• Affine Hecke algebras and generalizations of quiver Hecke algebras of type B
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Morita equivalences for cyclotomic Hecke algebras of type B and D
• Pseudo-symmetric pairs for Kac-Moody algebras
• Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types
• Universal K-matrices for quantum Kac-Moody algebras
• Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams
• Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type $BC$
• Crystal Basis Theory for a Quantum Symmetric Pair $(\mathbf{U},\mathbf{U}^{\jmath })$
• Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality
• Introduction to quantum groups
• Actions of tensor categories, cylinder braids and their Kauffman polynomial
• Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra

This page was built for publication: Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras