On the Structure of Infinitesimal Automorphisms of the Poisson-Lie Group <i>SU<

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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 nei
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