A remark on Schubert cells and the duality of orbits on flag manifolds
GINDIKIN, Simon ; MATSUKI, Toshihiko
J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 157-165 / Harvested from Project Euclid
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It is known that the closure of an arbitrary $K_{\mathbf C}$ -orbit on a flag manifold is expressed as a product of a closed $K_{\mathbf C}$ -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 give its new applications to the study of domains arising from the duality.
Publié le : 2005-01-14
Classification:  Schubert cell,  flag manifold,  14M15,  32M05 
@article{1160745819,
     author = {GINDIKIN, Simon and MATSUKI, Toshihiko},
     title = {A remark on Schubert cells and the duality of orbits on flag manifolds},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 157-165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1160745819}
}

GINDIKIN, Simon; MATSUKI, Toshihiko. A remark on Schubert cells and the duality of orbits on flag manifolds. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  157-165. http://gdmltest.u-ga.fr/item/1160745819/