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Unitary lowest weight representations of the noncompact supergroup OSp(2m * /2n). (English) Zbl 0741.22016
Unitary lowest weight representations of noncompact Lie superalgebras and supergroups seem to play an important role in supersymmetry theories. The oscillator construction for such irreducible representations is given, for the Lie supergroup Osp(2m * /2n), with even subgroup SO * (2m)×USp(2n). Decomposition rules to the even subgroup are given, and considered in more detail for the examples Osp(4 * /2) and Osp(4 * /6).
MSC:
22E70Applications of Lie groups to physics; explicit representations
17A70Superalgebras