A remark on Schubert cells and duality of orbits on flag manifolds
Simon Gindikin, Toshihiko Matsuki
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.
Create a lesson
Related papers
Representations of formal Lie groups and Lie pairs
Fulin Chen, Binyong Sun, Chuyun Wang
Unitary Branching for sl(m n), osp(m 2n) and F(4)
Steffen Schmidt
A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories
Ming Ding, Fan Xu, Panyue Zhou
A Comparison Theorem for Parahoric Character Sheaves
Zhihang Yu
On the Hiraga-Ichino-Ikeda conjecture on formal degrees for G2
Yugo Takanashi
The Arthur-Packet Support Equality for Real Reductive Groups
Jiawei Yang