  It is known that non-commutative fluids used to model the Fractional Quantum
Hall effect give Calogero--Moser systems. The group-theoretic description of
these as reductions of free motion on type A Lie algebras leads directly to
Laughlin wave functions. The Calogero--Moser models also parametrise the right
ideals of the Weyl algebra, which can be regarded as labelling sources in the
fluid.
