Moment maps and Riemannian symmetric pairs
Symplectic Geometry
2007-05-23 v2 Algebraic Geometry
Representation Theory
Abstract
The main result of this paper is a ``real form'' of Kirwan's convexity theorem, which in the abelian case was proved earlier by Duistermaat. We apply our result to flag varieties of real semisimple groups and obtain eigenvalue inequalities, which generalize inequalities found by Weyl, Ky Fan, Kostant, Klyachko, and many others.
Keywords
Cite
@article{arxiv.math/9902059,
title = {Moment maps and Riemannian symmetric pairs},
author = {Luis O'Shea and Reyer Sjamaar},
journal= {arXiv preprint arXiv:math/9902059},
year = {2007}
}
Comments
35 pages, 1 figure, several minor revisions