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Contractions ofSU(1, n) andSU(n+1) via Berezin quantization

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Abstract

We establish contractions of discrete series representations ofSU(1,n) and of unitary irreducible representations ofSU(n+1) to the unitary irreducible representations of the (2n+1)-dimensional Heisenberg group by use of the Berezin calculus on the coadjoint orbits associated to these representations by the Kirillov-Kostant method of orbits.

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  1. Départment de mathématiques, Université de Metz, Ile du Saulcy, 57045, Metz cedex 01, France

    Benjamin Cahen

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  1. Benjamin Cahen
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Cahen, B. Contractions ofSU(1, n) andSU(n+1) via Berezin quantization. J. Anal. Math. 97, 83–101 (2005). https://doi.org/10.1007/BF02807403

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