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arXiv · 1409.8410

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

Andrzej M. Frydryszak
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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.

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Andrzej M. Frydryszak. 2014-09-30. $Q$-representations and unitary representations of the super-Heisenberg group and harmonic superanalysis. https://doi.org/10.1088/1742-6596/563/1/012010

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