2005/02/01 by Hermann Flaschka, H. Flaschka, John Millson +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons
paper · pdf · doi:10.4153/cjm-2005-006-3
Abstract 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 of 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 reporduces formulas from the representation theory of the unitary group.