A systematic method to construct N-body integrable systems is introduced by means of phase space realizations of universal enveloping Hopf algebras. A particular realization for the so(2, 1) case (Gaudin system) is analysed and an integrable quantum deformation is constructed by using quantum algebras as Poisson-Hopf symmetries.

Ballesteros A, Corsetti M, & Ragnisco O (1996). N-dimensional classical integrable systems from Hopf algebras. CZECHOSLOVAK JOURNAL OF PHYSICS, 46(12), 1153-1163.

N-dimensional classical integrable systems from Hopf algebras

RAGNISCO, Orlando
1996

Abstract

A systematic method to construct N-body integrable systems is introduced by means of phase space realizations of universal enveloping Hopf algebras. A particular realization for the so(2, 1) case (Gaudin system) is analysed and an integrable quantum deformation is constructed by using quantum algebras as Poisson-Hopf symmetries.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/156408
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