On the automorphism groups of complex homogeneous spaces

Details On the automorphism groups of complex homogeneous spaces On the automorphism groups of complex homogeneous spaces

1995-06-12

arxiv.org/abs/math/9506218v1

Mathematics

Representation Theory

Scientific paper

If 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.

Affiliated with

Also associated with

No associations

Rating

On the automorphism groups of complex homogeneous spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the automorphism groups of complex homogeneous spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the automorphism groups of complex homogeneous spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108619