1208.2641 (Karl-Hermann Neeb et al.)

Positive definite superfunctions and unitary representations of Lie
supergroups    [PDF]

Karl-Hermann Neeb, Hadi Salmasian

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.

View original: http://arxiv.org/abs/1208.2641