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

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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.
8 pages

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Representation Theory, Algebraic Geometry, 14M15; 32M05

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http://salesiana.dossiersoluciones.com/handle/123456789/64689

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208071
 http://arxiv.org/abs/math/0208071
 J. Math. Soc. Japan 57(2005), 157--165

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arXiv