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Drinfeld, V.G. (1986) Quantum Groups, Proceedings of the International Congress of Mathematicians, Berkley, 3-11 August 1986, 789-820.

has been cited by the following article:

• TITLE: On the Structure of Infinitesimal Automorphisms of the Poisson-Lie Group SU(2,R)

  AUTHORS: Bousselham Ganbouri

  KEYWORDS: Poisson-Lie Structure, Lie Bialgebra, Hamiltonian, Poisson Automorphism, Linearization

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.4, April 9, 2014

  ABSTRACT: We study the Poisson-Lie structures on the group SU(2,R). We calculate all Poisson-Lie structures on SU(2,R) through the correspondence with Lie bialgebra structures on its Lie algebra su(2,R). We show that all these structures are linearizable in the neighborhood of the unity of the group SU(2,R). Finally, we show that the Lie algebra consisting of all infinitesimal automorphisms is strictly contained in the Lie algebra consisting of Hamiltonian vector fields.