A remark on Schubert cells and duality of orbits on flag manifolds
Abstract
It is known that the closure of an arbitrary Kc-orbit on a flag manifold is expressed as a product of a closed Kc-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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