Moment maps and Riemannian symmetric pairs

Details Moment maps and Riemannian symmetric pairs Moment maps and Riemannian symmetric pairs

1999-02-08

arxiv.org/abs/math/9902059v2

Math. Ann. 317 (2000), 415-457

Mathematics

Symplectic Geometry

35 pages, 1 figure, several minor revisions

Scientific paper

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.

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