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arXiv · 1208.2641

Positive definite superfunctions and unitary representations of Lie supergroups

Karl-Hermann Neeb·Hadi Salmasian
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Abstract

For a broad class of Frechet-Lie supergroups we prove that there exists a correspondence between positive definite smooth superfunctions and matrix coefficients of unitary representations. We also give a characterization of linear functionals on the corresponding universal enveloping algebra which correspond to matrix coefficients of analytic unitary representations.

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BibTeXRIS

Karl-Hermann Neeb, Hadi Salmasian. 2012-08-13. Positive definite superfunctions and unitary representations of Lie supergroups. https://arxiv.org/abs/1208.2641

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