2000/07/01 by Luen-Chau Li, Ping Xu · 25 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Bracket #Chemistry #Computer science #Constant (computer programming) #Lie algebra #Lie group #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Physics #Poisson bracket #Pure mathematics #Representation theory #Simple (philosophy) #Simple Lie group #Spin (aerodynamics) #hep-th #math.QA #math.SG
paper · pdf · doi:10.1016/s0764-4442(00)00508-5
published in Comptes Rendus de l Académie des Sciences - Series I - Mathematics 331(1), 55-60 (Elsevier BV) · 6 pages
openalex publication_date 2000/07/01 · arxiv created 2000/09/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. Our analysis is based on a group-theoretic framework similar in spirit to the standard classical r-matrix theory for constant r-matrices.