Poisson Manifolds Associated with Group
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P. Xu
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Article
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1993
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Elsevier Science
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English
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Let \(P\) be a Poisson \(G\)-space and \(A\) a classical triangular \(r\)-matrix. Using the Poisson reduction, we construct a new Poisson structure \(P_{A}\) on \(P\). For this new Poisson structure \(P_{1}\), we construct its symplectic groupoid, describe its symplectic leaves, and classify its sym