• Corpus ID: 14389832

A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups

  title={A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups},
  author={Eugene Karolinsky},
  journal={Banach Center Publications},
  • E. Karolinsky
  • Published 18 January 1999
  • Mathematics
  • Banach Center Publications
Let G be a complex reductive connected algebraic group equipped with the Sklyanin bracket. A classification of Poisson homogeneous G-spaces with connected isotropy subgroups is given. This result is based on Drinfeld’s correspondence between Poisson homogeneous G-spaces and Lagrangian subalgebras in the double D(g) (here g = LieG). A geometric interpretation of some Poisson homogeneous G-spaces is also proposed. 

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