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arXiv:1307.1138 [math.DG]AbstractReferencesReviewsResources

Decompositions and complexifications of homogeneous spaces

Martin Miglioli

Published 2013-07-03, updated 2013-09-27Version 2

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.

Comments: 19 pages, v2 with added example of coadjoint orbits in Schatten ideals and minor corrections
Categories: math.DG, math.FA
Subjects: 53C30, 22E65, 22E62, 47L20
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