Polygons in Minkowski space and Gelfand-Tsetlin for pseudounitary groups
Symplectic Geometry
2009-11-13 v2 Exactly Solvable and Integrable Systems
Abstract
We study the symplectic geometry of the moduli spaces of polygons in the Minkowski 3-space. These spaces naturally carry completely integrable systems with periodic flows. We extend the Gelfand-Tsetlin method to pseudo-unitary groups and show that the action variables are given by the Minkowsky lengths of non-intersecting diagonals.
Cite
@article{arxiv.math/0703525,
title = {Polygons in Minkowski space and Gelfand-Tsetlin for pseudounitary groups},
author = {Philip Foth},
journal= {arXiv preprint arXiv:math/0703525},
year = {2009}
}
Comments
12 pages, minor corrections