Bending flows for sums of rank one matrices

Details Bending flows for sums of rank one matrices Bending flows for sums of rank one matrices

2001-08-28

arxiv.org/abs/math/0108191v2

Mathematics

Symplectic Geometry

Scientific paper

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.

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