Symmetric pairs and moment spaces

Details Symmetric pairs and moment spaces Symmetric pairs and moment spaces

1998-10-09

arxiv.org/abs/math/9810064v1

Mathematics

Symplectic Geometry

16 pages

Scientific paper

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.

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