  The uniqueness of (the class of) deformation of Poisson Lie algebra has long
been a completely accepted folklore.
  Actually, it is wrong as stated, because its validity depends on the class of
functions that generate Poisson Lie algebra, Po(2n): it is true for polynomials
but false for Laurent polynomials.
  We show that unlike the Lie superalgebra Po(2n|m), its quotient modulo
center, the Lie superalgebra H(2n|m) of Hamiltonian vector fields with
polynomial coefficients, has exceptional extra deformations for (2n|m)=(2|2)
and only for this superdimension. We relate this result to the complete
description of deformations of the antibracket (also called the Schouten or
Buttin bracket).
  The representation of the deform (the result of quantization) of the Poisson
algebra in the Fock space coincides with the simplest space on which the Lie
algebra of commutation relations acts. This coincidence is not necessary for
Lie superalgebras
