Quantum dynamical R-matrices and quantum Frobenius group

DOI10.1007/s002200050259zbMath0892.17015arXivq-alg/9610009OpenAlexW2048614680MaRDI QIDQ1377041

Sergeĭ Anatol'evich Frolov, Gleb E. Arutyunov

Publication date: 1 February 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9610009

zbMATH Keywords

R-matrixhyperbolic Calogero-Moser systemquantum L-operatorRuijsenaars-Schneider system

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)

Related Items (8)

On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model ⋮ A new dynamical reflection algebra and related quantum integrable systems ⋮ Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction ⋮ Quantization and dynamisation of trace-Poisson brackets ⋮ Spin chains from dynamical quadratic algebras ⋮ Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model ⋮ Trigonometric Sutherland systems and their Ruijsenaars duals from symplectic reduction ⋮ Commuting quantum traces for quadratic algebras

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