$Q$-representations and unitary representations of the super-Heisenberg group and harmonic superanalysis

Abstract

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.

13 pages, no figures

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• Superorbits