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Symmetric pairs and moment spaces

Matthew Leingang
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Abstract

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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Matthew Leingang. 1998-10-09. Symmetric pairs and moment spaces. https://arxiv.org/abs/math/9810064

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