Kirillov-Reshetikhin modules and quantum \(K\)-matrices

DOI10.1007/s00220-024-04975-yarXiv2209.10325OpenAlexW4392927782MaRDI QIDQ6203020

Hiroto Kusano, Masato Okado, Hideya Watanabe

Publication date: 26 March 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10325

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx) Hopf algebras, quantum groups and related topics (16Txx)

Cites Work

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• Quantum symmetric Kac-Moody pairs
• Factorizing particles on a half-line and root systems
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Canonical bases arising from quantum symmetric pairs
• Universal K-matrix for quantum symmetric pairs
• Symmetric pairs for quantized enveloping algebras
• On level-zero representation of quantized affine algebras.
• Set-theoretic Yang-Baxter \& reflection equations and quantum group symmetries
• Combinatorial solutions to the reflection equation
• Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\)
• CALCULATION OF EXCITATION SPECTRA OF THE SPIN MODEL RELATED WITH THE VECTOR REPRESENTATION OF THE QUANTIZED AFFINE ALGEBRA OF TYPE $A_n^{(1)} $
• Box-Ball System with Reflecting End
• Existence of Kirillov–Reshetikhin crystals for nonexceptional types
• Algebraic structures related to reflection equations
• ENERGY FUNCTIONS IN BOX BALL SYSTEMS
• Solutions of the $ \newcommand{\mfsl}{\mf{sl}} \newcommand{\mf}{\mathfrak} \newcommand{\wh}{\widehat} {U_q(\wh\mfsl_N)}$ reflection equations
• Boundary conditions for integrable quantum systems
• Set-theoretical reflection equation: classification of reflection maps
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Canonical bases arising from quantum symmetric pairs of Kac–Moody type
• Universal K-matrices for quantum Kac-Moody algebras
• Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams
• Actions of skew braces and set-theoretic solutions of the reflection equation
• A new tableau model for representations of the special orthogonal group