Unitary representations of nilpotent super Lie groups
Representation Theory
2015-05-13 v2
Abstract
We show that irreducible unitary representations of nilpotent super Lie groups can be obtained by induction from a distinguished class of sub super Lie groups. These sub super Lie groups are natural analogues of polarizing subgroups that appear in classical Kirillov theory. We obtain a concrete geometric parametrization of irreducible unitary representations by nonnegative definite coadjoint orbits. As an application, we prove an analytic generalization of the Stone-von Neumann theorem for Heisenberg-Clifford super Lie groups.
Keywords
Cite
@article{arxiv.0906.2515,
title = {Unitary representations of nilpotent super Lie groups},
author = {Hadi Salmasian},
journal= {arXiv preprint arXiv:0906.2515},
year = {2015}
}