Comparison of Poisson structures and Poisson-Lie dynamical r-matrices

Article, Preprint English OPEN
Enriquez , Benjamin; Etingof , Pavel; Marshall , Ian;
(2004)
  • Publisher: Oxford University Press (OUP)
  • Related identifiers: doi: 10.1155/IMRN.2005.2183
  • Subject: [ MATH.MATH-QA ] Mathematics [math]/Quantum Algebra [math.QA] | 53D17 37J05 37J35 | Mathematics - Quantum Algebra | Mathematics - Differential Geometry
    arxiv: Mathematics::Quantum Algebra | Mathematics::Symplectic Geometry | Mathematics::Rings and Algebras

We construct a Poisson isomorphism between the formal Poisson manifolds g^* and G^*, where g is a finite dimensional quasitriangular Lie bialgebra. Here g^* is equipped with its Lie-Poisson (or Kostant-Kirillov-Souriau) structure, and G^* with its Poisson-Lie structure.... View more
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