Equivalence of domains arising from duality of orbits on flag manifolds

Details Equivalence of domains arising from duality of orbits on flag manifolds Equivalence of domains arising from duality of orbits on flag manifolds

2003-09-19

arxiv.org/abs/math/0309314v3

Trans. Amer. Math. Soc. 358 (2006), 2217--2245.

Mathematics

Representation Theory

32 pages; improved many arguments, also updated Remark 1.6

Scientific paper

In [GM1], we defined a G_R-K_C invariant subset C(S) of G_C for each K_C-orbit S on every flag manifold G_C/P and conjectured that the connected component C(S)_0 of the identity would be equal to the Akhiezer-Gindikin domain D if S is of nonholomorphic type by computing many examples. In this paper, we first prove (in Theorem 1.3 and Corollary 1.4) this conjecture for the open K_C-orbit S on an ``arbitrary'' flag manifold generalizing the result of Barchini. This conjecture for closed S was solved in [WZ1], [WZ2] (Hermitian cases) and [FH] (non-Hermitian cases). We also deduce an alternative proof of this result for non-Hermitian cases from Theorem 1.3.

Affiliated with

Also associated with

No associations

Rating

Equivalence of domains arising from duality of orbits on flag manifolds 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 Equivalence of domains arising from duality of orbits on flag manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence of domains arising from duality of orbits on flag manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-70629