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Superunitary Representations of Heisenberg Supergroups
[article]
2017
arXiv
pre-print
Numerous Lie supergroups do not admit superunitary representations except the trivial one, e.g., Heisenberg and orthosymplectic supergroups in mixed signature. To avoid this situation, we introduce in this paper a broader definition of superunitary representation, relying on a new definition of Hilbert superspace. The latter is inspired by the notion of Krein space and was developed initially for noncommutative supergeometry. For Heisenberg supergroups, this new approach yields a smooth
arXiv:1601.07387v2
fatcat:m3punytc4zexdn3l5q3wtd6yk4