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

22nd International Conference on Integrable Systems and Quantum Symmetries

Frydryszak, Andrzej M.^1

Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland^1

关键词: Heisenberg group;    Nilpotent;    Unitary representations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012010/pdf
DOI  :  10.1088/1742-6596/563/1/012010

来源: IOP

【 摘 要 】

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.