1993/07/21 by Elisa Prato, Prato, Elisa, Siye Wu +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems #alg-geom #hep-th #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9307005
LaTeX file, 14 pages
arxiv created 1993/07/21 · openalex publication_date 1993/07/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a ðtype 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.