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A minimal representation of a simple non-compact Lie group is obtained by ``quantizing'' the minimal nilpotent coadjoint orbit of its Lie algebra.
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N.M. Nikolov, I.T. Todorov, Rationality of conformally invariant local correlation functions on compactified Minkowski space, Commun. Math. Phys
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Wee Teck Gan, G. Savin, On minimal representations, Representation Theory
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C. Fronsdal, C. Roger, F. Butin, Deformation quantization on the closure of minimal coadjoint orbits, Lett. Math. Phys
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G. Mack, I. Todorov, Irreducibility of the ladder representations of U(2,2) when restricted to the Poincaré subgroup, J. Math. Phys
2085
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