Abstract
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 provide (for a suitable category of super Lie groups) the full super-unitary dual and that reproduces the list of my super unitary representations (or explains why they should not appear).
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Tuynman, G.M. (2019). The Super Orbit Challenge. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVII. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-34072-8_22
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DOI: https://doi.org/10.1007/978-3-030-34072-8_22
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Publisher Name: Birkhäuser, Cham
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Online ISBN: 978-3-030-34072-8
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