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2018•Journal of Algebra and Its ApplicationsOpen access

A construction by deformation of unitary irreducible representations of SU(1,n) and SU(n + 1)

Benjamin Cahen

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Abstract

We recover the holomorphic discrete series representations of [Formula: see text] as well as some unitary irreducible representations of [Formula: see text] by deformation of a minimal realization of [Formula: see text].

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What this paper is about

We recover the holomorphic discrete series representations of [Formula: see text] as well as some unitary irreducible representations of [Formula: see text] by deformation of a minimal realization of [Formula: see text].

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Available abstract

We recover the holomorphic discrete series representations of [Formula: see text] as well as some unitary irreducible representations of [Formula: see text] by deformation of a minimal realization of [Formula: see text].

Key concepts: Unitary state, Irreducible representation, Special unitary group, Deformation (meteorology), Pure mathematics, Mathematics, Algebra over a field, Physics

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