Folded and contracted solutions of coupled classical dynamical Yang-Baxter and reflection equations

DOI10.1016/j.indag.2021.07.003zbMath1502.16038arXiv2104.11144OpenAlexW3185014897MaRDI QIDQ2243178

Jasper V. Stokman

Publication date: 11 November 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11144

zbMATH Keywords

spherical functionsYang-Baxter equationsreflection equationsboundary KZB equations

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie algebras and superalgebras to integrable systems (17B80) Ring-theoretic aspects of quantum groups (16T20) Yang-Baxter equations (16T25)

Related Items

Pseudo-symmetric pairs for Kac-Moody algebras, Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains, \(N\)-point spherical functions and asymptotic boundary KZB equations

Cites Work

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• Asymptotic behavior of matrix coefficients of admissible representations
• Factorizing particles on a half-line and root systems
• On classification of dynamical \(r\)-matrices
• Notes on Lie algebras.
• Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
• Representations of affine Lie algebras, elliptic \(r\)-matrix systems, and special functions
• Twisted traces of intertwiners for Kac-Moody algebras and classical dynamical \(R\)-matrices corresponding to generalized Belavin-Drinfeld triples
• Heckman-Opdam's Jacobi polynomials for the \(BC_{n}\) root system and generalized spherical functions
• On the affine analogue of Jack and Macdonald polynomials
• Conformal blocks on elliptic curves and the Knizhnik-Zamolodchikov-Bernard equations
• Spherical functions on affine Lie groups
• Weyl's character formula for algebraic groups
• The Characters of Semisimple Lie Groups
• Generalized quantum Gaudin spin chains, involutive automorphisms and “twisted” classical r-matrices
• Generalized Gaudin spin chains, nonskew symmetric r-matrices, and reflection equation algebras
• Quantum integrable systems and representations of Lie algebras
• Introduction to Lie Algebras and Representation Theory
• On the characters of a semisimple Lie group
• Solutions of the classical Yang-Baxter equation for simple Lie algebras