Decompositions and complexifications of homogeneous spaces
arXiv:1307.1138
Abstract
In this paper an extended CPR decomposition theorem for Finsler symmetric spaces of semi-negative curvature in the context of reductive structures is proven. This decomposition theorem is applied to give a geometric description of the complexification of some infinite dimensional homogeneous spaces.
19 pages, v2 with added example of coadjoint orbits in Schatten ideals and minor corrections