$Q$-representations and unitary representations of the super-Heisenberg   group and harmonic superanalysis
  We juxtapose two approaches to the representations of the super-Heisenberg group. Physical one, sometimes called concrete approach, based on the super-wave functions depending on the anti-commuting variables, yielding the harmonic superanalysis and recently developed strict theory of unitary representations of the nilpotent super Lie groups covering the unitary representations of the super-Heisenberg group. 
Andrzej M. Frydryszak
math-ph math.MP math.RT