Poisson structures on complex flag manifolds associated with real forms

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dc.creatorFoth, Philip
dc.creatorLu, Jiang-Hua
dc.date2003-09-19
dc.date.accessioned2026-07-07T05:01:19Z
dc.date.available2026-07-07T05:01:19Z
dc.descriptionFor a complex semi-simple group G and its real form G0 we define a Poisson structure on the flag variety of G such that all the Bruhat cells (for a suitable choice of a Borel subgroup of G) as well as all the G0-orbits are Poisson submanifolds. We show that each intersection of a G0-orbit with a Bruhat cell is a regular Poisson submanifold and we compute the dimensions of its symplectic leaves.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0309334
dc.identifierhttp://arxiv.org/abs/math/0309334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68627
dc.subjectSymplectic Geometry
dc.subjectRepresentation Theory
dc.subject53D17
dc.titlePoisson structures on complex flag manifolds associated with real forms
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