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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1995, Volume 2, Number 3, Pages 306–311
(Mi jmag633)
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This article is cited in 1 scientific paper (total 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.
Received: 22.02.1995
Citation:
E. A. Karolinsky, “The symplectic leaves on Poisson homogeneous spaces of Poisson–Lie groups”, Mat. Fiz. Anal. Geom., 2:3 (1995), 306–311
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https://www.mathnet.ru/eng/jmag633 https://www.mathnet.ru/eng/jmag/v2/i3/p306
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