2019/05/15 by Tuynman, Gijs M.
#22E99 #57S20 #58A50 #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.1905.06063
When using the generally adopted definition of a super unitary representation, there are lots of super Lie groups for which the regular representation is not super unitary. I propose a new definition of a super unitary representation for which all regular representations are super unitary. I then choose a particular super Lie group (of Heisenberg type) for which I provide a list of super unitary representations in my new sense, obtained by a heuristic super orbit method. The super orbit challenge is to find a well defined super orbit method that will reproduces more or less my list of super unitary representations (or explains why they should not appear).