From \(\mathfrak {su}(2)\) Gaudin models to integrable tops

DOI10.3842/SIGMA.2007.058zbMath1131.70004arXivmath-ph/0703044OpenAlexW2171934929MaRDI QIDQ2473457

Matteo Petrera, Orlando Ragnisco

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703044

zbMATH Keywords

Lax representationspinning topslinear \(r\)-matrix formulation

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Related Items (3)

An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems ⋮ Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases ⋮ Bäcklund transformations for the elliptic Gaudin model and a Clebsch system

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