Elliptic Ruijsenaars operators and functional equations
DOI10.1063/1.1507604zbMath1060.81036OpenAlexW1986156980MaRDI QIDQ4832814
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1507604
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Difference operators (39A70) Simple, semisimple, reductive (super)algebras (17B20) Matrix and operator functional equations (39B42)
Cites Work
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- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Completely \(\mathbb{Z}\) symmetric \(R\) matrix
- Quantum Knizhnik-Zamolodchikov equations and affine root systems
- Elliptic K-matrix associated with Belavin's symmetric R-matrix
- Elliptic Dunkl operators, root systems, and functional equations
- Classification of R-operators
- Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions
- Integrability of difference Calogero–Moser systems
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