Unitary lowest weight representations of the noncompact supergroup \(OSp(2m^*/2n)\). (English) Zbl 0741.22016

Günaydin, M.; Scalise, R. J.

J. Math. Phys. 32, No. 3, 599-606 (1991).

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 \(SO^*(2m)\times USp(2n)\). Decomposition rules to the even subgroup are given, and considered in more detail for the examples \(Osp(4^*/2)\) and \(Osp(4^*/6)\).

Reviewer: J.Van der Jeugt (Gent)

MSC:

22E70	Applications of Lie groups to the sciences; explicit representations
17A70	Superalgebras

Keywords:

oscillator representation; noncompact supergroups; unitary lowest weight representations; noncompact Lie superalgebras; supersymmetry; irreducible representations; Lie supergroup; decomposition rules

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