Convexity theorems for semisimple symmetric spaces
Representation Theory
2015-03-11 v2 Symplectic Geometry
Abstract
We prove a remarkable generalization of a convexity theorem for semisimple symmetric spaces G/H established earlier in 1986 by the second named author. The latter result generalized Kostant's non-linear convexity theorem for the Iwasawa decomposition of a real semisimple Lie group. The present generalization involves Iwasawa decompositions related to minimal parabolic subgroups of G of arbitrary type instead of the particular type relative to H considered in 1986.
Cite
@article{arxiv.1401.1093,
title = {Convexity theorems for semisimple symmetric spaces},
author = {Dana Balibanu and Erik van den Ban},
journal= {arXiv preprint arXiv:1401.1093},
year = {2015}
}
Comments
LaTeX, 52 pages, v2 contains minor corrections and modifications