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The analog of unitary representation of the Poincaré group for the super Poincaré group: supersymmetry.
An irreducible representation of the super Poincaré Lie algebra is called super multiplet. It is in general itself a super vector space which contains an ordinary irreducible unitary representation of the Poincaré group – which may be identified with a bosonic relativistic particle of some mass – together with the images of these “bosonic” elements under the odd generators: the superpartners of the bosonic particles.
Reviews and lecture notes include
V. Varadarajan, Unitary representations of super Lie groups (pdf)
Daniel Freed, Lecture 3 of Five lectures on supersymmetry
Antoine Van Proeyen, Tools for supersymmetry (arXiv:hep-th/9910030)
The classification is due to
The analogous discussion generalized to parasupersymmetry? is in
Expositional slides: