A remark on Schubert cells and duality of orbits on flag manifolds
Representation Theory
2007-05-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.math/0208071,
title = {A remark on Schubert cells and duality of orbits on flag manifolds},
author = {Simon Gindikin and Toshihiko Matsuki},
journal= {arXiv preprint arXiv:math/0208071},
year = {2007}
}
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8 pages