Triangular Poisson structures on Lie groups and symplectic reduction

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dc.creatorHodges, Timothy J.
dc.creatorYakimov, Milen
dc.date2004-12-03
dc.date.accessioned2026-07-07T05:14:56Z
dc.date.available2026-07-07T05:14:56Z
dc.descriptionWe show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplectic reduction technique is then used to give a complete description of the symplectic foliation of all triangular Poisson structures on Lie groups. The results are illustrated in detail for the generalized Jordanian Poisson structures on SL(n).
dc.description12 pages, AMS-Latex
dc.identifierhttps://arxiv.org/abs/math/0412082
dc.identifierhttp://arxiv.org/abs/math/0412082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73475
dc.subjectSymplectic Geometry
dc.subjectQuantum Algebra
dc.subject53D20; 17B62, 53D17, 17B37
dc.titleTriangular Poisson structures on Lie groups and symplectic reduction
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