Exotic galilean symmetry and the Hall effect
Résumé
The ``Laughlin\'\' picture of the Fractional Quantum Hall effect can be derived using the ``exotic\'\' model based on the two-fold centrally-extended planar Galilei group. When coupled to a planar magnetic field of critical strength determined by the extension parameters, the system becomes singular, and ``Faddeev-Jackiw\'\' reduction yields the ``Chern-Simons\'\' mechanics of Dunne, Jackiw, and Trugenberger. The reduced system moves according to the Hall law.