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 [10.1007/BF01690329].
N-dimensional classical integrable systems from Hopf algebras
RAGNISCO, Orlando
1996-01-01
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.File in questo prodotto:
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