The Infinite Symmetry and Interplay Between Integer and Fractional   Quantum Hall Effect
  It is shown, that a spectrum generating algebras and wave functions for the integral and fractional quantum Hall effect are related by the non-unitary similarity transformation. This transformation corresponds to the introduction of the complex Chern-Simons gauge fields, in terms of which the second quantized form of FQHE can be developed 
M.Eliashvili