  The ``Jackiw-Nair'' non-relativistic limit of the relativistic anyon
equations provides us with infinite-component wave equations of the
Dirac-Majorana-Levy-Leblond type for the ``exotic'' particle, associated with
the two-fold central extension of the planar Galilei group. An infinite
dimensional representation of the Galilei group is found. The velocity operator
is studied, and the observable coordinates describing a noncommutative plane
are identified.
