On the automorphism groups of complex homogeneous spaces

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dc.creatorDunne, Edward G.
dc.creatorZierau, Roger
dc.date1995-06-12
dc.date.accessioned2026-07-07T09:15:21Z
dc.date.available2026-07-07T09:15:21Z
dc.descriptionIf G is a (connected) complex Lie Group and Z is a generalized flag manifold for G, the the open orbits D of a (connected) real form G_0 of G form an interesting class of complex homogeneous spaces, which play an important role in the representation theory of G_0. We find that the group of automorphisms, i.e., the holomorphic diffeomorphisms, is a finite-dimensional Lie group, except for a small number of open orbits, where it is infinite dimensional. In the finite-dimensional case, we determine its structure. Our results have some consequences in representation theory.
dc.identifierhttps://arxiv.org/abs/math/9506218
dc.identifierhttp://arxiv.org/abs/math/9506218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152989
dc.subjectRepresentation Theory
dc.titleOn the automorphism groups of complex homogeneous spaces
dc.typetext

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