Duistermaat-Heckman measures in a non-compact setting

نویسندگان

  • ELISA PRATO
  • SIYE WU
چکیده

We prove a Duistermaat-Heckman 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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تاریخ انتشار 1994