A remark on Schubert cells and duality of orbits on flag manifolds

Details A remark on Schubert cells and duality of orbits on flag manifolds A remark on Schubert cells and duality of orbits on flag manifolds

2002-08-09

arxiv.org/abs/math/0208071v1

J. Math. Soc. Japan 57(2005), 157--165

Mathematics

Representation Theory

8 pages

Scientific paper

It is known that the closure of an arbitrary K_c-orbit on a flag manifold is
expressed as a product of a closed K_c-orbit and a Schubert cell ([M2], [Sp]).
We already applied this fact to the duality of orbits on flag manifolds ([GM]).
We refine here this result and and give its new applications to the study of
domains arising from the duality.

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