  In this note, a deep connection between free field realisations of conformal
field theories and symmetric polynomials is presented. We give a brief
introduction into the necessary prerequisites of both free field realisations
and symmetric polynomials, in particular Jack symmetric polynomials. Then we
combine these two fields to classify the irreducible representations of the
minimal model vertex operator algebras as an illuminating example of the power
of these methods. While these results on the representation theory of the
minimal models are all known, this note exploits the full power of Jack
polynomials to present significant simplifications of the original proofs in
the literature.
