Yang-Baxter maps, discrete integrable equations and quantum groups

DOI10.1016/j.nuclphysb.2017.11.017zbMath1380.81164arXiv1501.06984OpenAlexW1622304919MaRDI QIDQ1695951

Vladimir V. Bazhanov, Sergey M. Sergeev

Publication date: 14 February 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06984

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) Inverse scattering problems in quantum theory (81U40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Baxter equations (16T25)

Related Items (12)

On non-abelian quadrirational Yang–Baxter maps* ⋮ Integrable quad equations derived from the quantum Yang-Baxter equation ⋮ Quantum groups, Yang-Baxter maps and quasi-determinants ⋮ Two-component Yang-Baxter maps and star-triangle relations ⋮ Extensions of Yang-Baxter sets ⋮ From braces to Hecke algebras and quantum groups ⋮ Integrable two-component systems of difference equations ⋮ The Coxeter relations and KP map for non-commuting symbols ⋮ Re-factorising a QRT map ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps ⋮ Difference systems in bond and face variables and non-potential versions of discrete integrable systems ⋮ An algebraic approach to discrete time integrability

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