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math-ph2015
Bi-Hamiltonian geometry and canonical spectral coordinates for the Rational Calogero-Moser system
Gregorio Falqui, Igor Mencattini
We reconsider the (rational) Calogero-Moser system from the point of view of bi-Hamiltonian geometry. By using geometrical tools of the latter, we explicitly construct set(s) of sp…
math.RA2015★ 17 cited
Post-Lie Algebras and Isospectral Flows
Kurusch Ebrahimi-Fard, Alexander Lundervold, Igor Mencattini +1
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical -matrix. An explicit exponential solution of the corresponding Lie bracket flo…