Elliptic Calogero-Moser Hamiltonians and Compatible Poisson Brackets

  • Vladimir SokolovEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 273)


We show that the classical elliptic \(A_2\)-Calogero-Moser Hamiltonian is generated by the elliptic quadratic Poisson bracket of the \(q_{9,2}(\tau )\)-type.


Calogero-Moser Hamiltonians Elliptic Calogero-Moser Hamiltonians Poisson brackets 



The author thanks A. Bolsinov and A. Odesskii for very useful discussions. He was supported by RFBI-grant No. 16-01-00289. Also, this work was carried out within the framework of the State Programme of the Ministry of Education and Science of the Russian Federation, project 1.12873.2018/12.1.


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Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsMoscowRussia
  2. 2.Centre of Integrable SystemsP.G. Demidov Yaroslavl State UniversityYaroslavlRussia
  3. 3.Federal University of ABCSanto AndréBrazil

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