On the geometry of nilpotent orbits

dc.creatorSchmid, Wilfried
dc.creatorVilonen, Kari
dc.date2004-10-02
dc.date.accessioned2026-07-07T05:12:48Z
dc.date.available2026-07-07T05:12:48Z
dc.descriptionIn this paper we obtain various results about the geometry of nilpotent orbits. In particular, we obtain a better understanding of the Kostant-Sekiguchi correspondence and Kronheimer's instanton flow. We utilize the moment map of Ness and the SL(2)-orbit theorem from Hodge theory. The results of this paper are used in the proof of the Barbarsch-Vogan conjecture in math.RT/0005305 (Ann. of Math. (2) 151 (2000), no. 3, 1071-1118).
dc.identifierhttps://arxiv.org/abs/math/0410033
dc.identifierhttp://arxiv.org/abs/math/0410033
dc.identifierSurv. Differ. Geom., VII, Int. Press, Somerville, MA, pp. 565-623 (2000); Sir Michael Atiyah: a great mathematician of the twentieth century. Asian J. Math. 3 (1999), no. 1, 233-274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72712
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subject22E45, 22E47, 22E60, 53C30
dc.titleOn the geometry of nilpotent orbits
dc.typetext

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