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A contraction ofS U (2) to the Heisenberg group

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Abstract

A contraction ofS U (2) to the three-dimensional Heisenberg group is defined by considering the action of the two groups on appropriate manifolds in ℂ2. The infinite-dimensional irreducible unitary representations of the Heisenberg group are then shown to be limits of (finite-dimensional) irreducible representations ofS U (2).

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  1. Departimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy

    Fulvio Ricci

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  1. Fulvio Ricci
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Ricci, F. A contraction ofS U (2) to the Heisenberg group. Monatshefte für Mathematik 101, 211–225 (1986). https://doi.org/10.1007/BF01301660

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