quantum dynamical -matrix based on solution of the associative Yang–Baxter equation

DOI10.1070/RM9897zbMath1436.16045arXiv1905.08724OpenAlexW2946739378MaRDI QIDQ5220253

I. A. Sechin, Andrei V. Zotov

Publication date: 11 March 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08724

zbMATH Keywords

associative Yang-Baxter equation

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Baxter equations (16T25)

Related Items (2)

Relativistic interacting integrable elliptic tops ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve

Cites Work

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• Planck constant as spectral parameter in integrable systems and KZB equations
• Classical Yang-Baxter equation and the \(A_\infty\)-constraint
• On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials
• Some algebraic structures connected with the Yang-Baxter equation
• Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
• Elliptic Dunkl operators, root systems, and functional equations
• The \(r\)-matrix structure of the Euler-Calogero-Moser model
• Generalized model of interacting integrable tops
• Characteristic classes of ${\rm SL}(N, {\mathbb {C}})$-bundles and quantum dynamical elliptic R-matrices

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