Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras

DOI10.1007/s00220-011-1359-xzbMath1253.37055arXiv1007.3898OpenAlexW2079990176MaRDI QIDQ652272

Luen-Chau Li, Zhaohu Nie

Publication date: 14 December 2011

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

Full work available at URL: https://arxiv.org/abs/1007.3898

zbMATH Keywords

simple Lie algebrasLiouville integrabilitydynamical \(r\)-matricesintegrable spin Calogero-Moser systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Simple, semisimple, reductive (super)algebras (17B20) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (4)

Poisson-Lie analogues of spin Sutherland models ⋮ The Toda flow on Hessenberg elements of real, split simple Lie algebras ⋮ Calogero-Moser systems for simple Lie groups and characteristic classes of bundles ⋮ Intrinsic construction of invariant functions on simple Lie algebras

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