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

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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 $g = Lie G$). A geometric interpretation of some of Poisson homogeneous $G$-spaces is also proposed.
LaTeX 2e, 9 pages, to be published in Banach Center Publications; minor changes (typos corrected)

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Quantum Algebra, Differential Geometry, 53C30 (Primary); 17B20, 17B37, 16W30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901073
 http://arxiv.org/abs/math/9901073

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arXiv