Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type $\boldsymbol{A^{(1)}_{n-1}}$

DOI10.1093/integr/xyz013zbMath1481.37084arXiv1907.10234OpenAlexW3102062858MaRDI QIDQ5157897

Masato Okado, Atsuo Kuniba

Publication date: 20 October 2021

Published in: Journal of Integrable Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10234

zbMATH Keywords

quantum groupcombinatorial \(R\) matrixcrystal basereflection equationgeometric crystalset-theoretical solution

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Quantum groups (quantized function algebras) and their representations (20G42) Yang-Baxter equations (16T25) Combinatorial aspects of groups and algebras (05E16)

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