Two geometric character formulas for reductive Lie groups

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dc.creatorSchmid, Wilfried
dc.creatorVilonen, Kari
dc.date1998-01-18
dc.date.accessioned2026-07-07T05:23:36Z
dc.date.available2026-07-07T05:23:36Z
dc.descriptionIn this paper we prove two formulas for the characters of representations of reductive groups. Both express the character of a representation in terms of the same geometric data attached to it. When specialized to the case of a compact Lie group, one of them reduces to Kirillov's character formula in the compact case, and the other, to an application of the Atiyah-Bott fixed point formula to the Borel-Weil realization of the representation.
dc.identifierhttps://arxiv.org/abs/math/9801081
dc.identifierhttp://arxiv.org/abs/math/9801081
dc.identifierJ. Amer. Math. Soc. 11 (1998), no. 4, 799-867
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76506
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleTwo geometric character formulas for reductive Lie groups
dc.typetext

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