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

• Autorzy: Eugene Karolinsky
• Języki publikacji: EN

Abstrakty

EN

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 D𝖌 (here 𝖌 = Lie G). A geometric interpretation of some Poisson homogeneous G-spaces is also proposed.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 51
• Numer: 1
• Strony: 103-108

Daty

wydano

2000

Twórcy

autor

Eugene Karolinsky

• Department of Mathematics and Mechanics, Kharkov State University, 4 Svobody Sq., Kharkov, 310077, Ukraine

Bibliografia

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