Affine \(R\)-matrix and the generalized elliptic Ruijsenaars models
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Publication:1392678
DOI10.1023/A:1007452800428zbMath0967.17016MaRDI QIDQ1392678
Kazuhiro Hikami, Yasushi Komori
Publication date: 5 June 2000
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Yang-Baxter equationroot systemsDemazure-Lusztig operatorsaffine \(R\)-matricesCherednik's operatorselliptic Macdonald operatorselliptic Ruijsenaars models
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Discrete version of topics in analysis (39A12)
Related Items (7)
Quantum Lax pairs via Dunkl and Cherednik operators ⋮ An algebraic approach to Macdonald–Koornwinder polynomials: Rodrigues-type formula and inner product identity ⋮ Classification of R-operators ⋮ Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions ⋮ Essential self-adjointness of the elliptic Ruijsenaars models ⋮ An algebraic approach to the non-symmetric Macdonald polynomial ⋮ Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system
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