This article is cited in 1 paper

The symplectic leaves on Poisson homogeneous spaces of Poisson–Lie groups

E. A. Karolinsky

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov

Abstract: The symplectic leaves on Poisson homogeneous spaces of a Poisson–Lie group $G$ are described in terms of the double $D(G)$. An explicit formula for the symplectic form on a leaf is derived. A duality between the symplectic leaves on the Poisson homogeneous spaces of $G$ and those of the dual group $G^*$ is revealed.

UDC: 512.81

Received: 22.02.1995