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

Simon Gindikin·Toshihiko Matsuki
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Abstract

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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Simon Gindikin, Toshihiko Matsuki. 2002-08-09. A remark on Schubert cells and duality of orbits on flag manifolds. https://arxiv.org/abs/math/0208071

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