Duistermaat-Heckman measures in a non-compact setting

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 14 pages

Scientific paper

We prove a \dh type formula in a suitable non-compact setting. We use this
formula to evaluate explicitly the pushforward of the Liouville measure via the
moment map of both an abelian and a non-abelian group action. As an application
we obtain the classical analogues of well-known multiplicity formulas for the
holomorphic discrete series representations.

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