2001/08/28 by Hermann Flaschka, H. Flaschka, John Millson +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG
paper · pdf · doi:10.48550/arxiv.math/0108191
openalex publication_date 2001/08/28 · arxiv created 2004/05/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study certain symplectic quotients of n-fold products of complex projective m-space by the unitary group acting diagonally. After studying nonemptiness and smoothness these quotients we construct the action-angle variables, defined on an open dense subset of an integrable Hamiltonian system. The semiclassical quantization of this system reproduces formulas from the representation theory of the unitary group.