Bending flows for sums of rank one matrices
Symplectic Geometry
2007-05-23 v2
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 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.
Cite
@article{arxiv.math/0108191,
title = {Bending flows for sums of rank one matrices},
author = {Hermann Flaschka and John Millson},
journal= {arXiv preprint arXiv:math/0108191},
year = {2007}
}