Complexity of nilpotent orbits and the Kostant-Sekiguchi correspondence

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dc.creatorKing, Donald R.
dc.date2003-03-07
dc.date.accessioned2026-07-07T04:55:52Z
dc.date.available2026-07-07T04:55:52Z
dc.descriptionLet G be a connected linear semisimple Lie group with Lie algebra g, and let K_C --> Aut(p_C) be the complexified isotropy representation at the identity coset of the corresponding symmetric space G/K. Suppose that O is a nilpotent G-orbit in g and O* is the nilpotent K_C-orbit in p_C associated to O by the Kostant-Sekiguchi correspondence. We show that the complexity of O* as a K_C variety measures the failure of the Poisson algebra of smooth K-invariant functions on O to be commutative.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0303096
dc.identifierhttp://arxiv.org/abs/math/0303096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66729
dc.subjectRepresentation Theory
dc.subjectSymplectic Geometry
dc.subject22E46(primary), 14R20(secondary), 53D20(secondary)
dc.titleComplexity of nilpotent orbits and the Kostant-Sekiguchi correspondence
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