1998/10/09 by Matthew Leingang, Leingang, Matthew
Mathematics · #17B99 #22E15 (Secondary) #53C15 (Primary) #53C35 #58F05 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:17B99 #msc:22E15 #msc:53C15 #msc:53C35 #msc:58F05
paper · pdf · doi:10.48550/arxiv.math/9810064
16 pages
arxiv created 1998/10/09 · arxiv updated 2009/11/30
For a Lie group G, we seek the right definition of a "moment space" for G. One axiom is clear, involving a closed equivariant three-form. We construct this form for symmetric spaces associated to a symmetric pair (H,G) with an additional structure. Furthermore, we prove a decomposition theorem for these pairs over a compact, connected, and semisimple Lie group.