Exotic plasma as classical Hall liquid

A non-relativistic plasma model endowed with an "exotic" structure associat ed with the two-parameter central extension of the planar Galilei group is constructed. Introducing a Chern-Simons statistical gauge field provides us with a self-consistent system; when the magnetic field takes a critical va lue determined by the extension parameters, the fluid becomes incompressibl e and moves collectively, according to the Hall law.