Bending flows for sums of rank one matrices

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.

Keywords

Symplectic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62093

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108191
 http://arxiv.org/abs/math/0108191

Collections

arXiv