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Open Accesshttps://doi.org/10.1016/j.exmath.2024.125586
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Cite Journal: Expositiones Mathematicae |  Publication Date: Jul 1, 2024 |
 License type: cc-by |
We realize the irreducible representations of a compact Lie supergroup G, with a contragredient simple Lie superalgebra, in the space of square integrable (in the sense of Berezin) holomorphic sections on X=GA, A is the real torus in the complexification of G. We give an explicit realization of unitary representations when G=SU(1|1).
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