Cherednik Operators and Ruijsenaars–Schneider Model at Infinity

DOI10.1093/imrn/rnx176zbMath1480.05138arXiv1703.02794OpenAlexW2963738359MaRDI QIDQ5243346

M. L. Nazarov, Evgueni K. Sklyanin

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02794

zbMATH Keywords

Macdonald polynomialsLax matrixCherednik operatorsRuijsenaars-Schneider model

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (5)

Spin-Ruijsenaars, \(\mathsf{q}\)-deformed Haldane-Shastry and Macdonald polynomials ⋮ Spectral theory of the Nazarov-Sklyanin Lax operator ⋮ Quantum Lax pairs via Dunkl and Cherednik operators ⋮ Interpolation Macdonald operators at infinity ⋮ On Cherednik and Nazarov-Sklyanin large N limit construction for integrable many-body systems with elliptic dependence on momenta

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