Quantum Lax pairs via Dunkl and Cherednik operators
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Publication:2421540
DOI10.1007/s00220-019-03289-8zbMath1436.81058arXiv1804.01766OpenAlexW2795468696WikidataQ61820881 ScholiaQ61820881MaRDI QIDQ2421540
Publication date: 17 June 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01766
Weyl groupCalogero-Moser systemDunkl operatorCherednik operatorKoornwinder-van Diejen systemMacdonald-Ruijsenaars operatorquantum Lax pair
Hecke algebras and their representations (20C08) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)
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