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

被引：1

作者：

Cahen, Benjamin ^{[1
]}

机构：

[1] Univ Lorraine, UFR MIM, Dept Math, Site Metz,Batiment A,3 Rue Augustin Fresnel, F-57073 Metz 03, France

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 07期

关键词：

Deformation of representation; Lie algebra; unitary group; Chevalley-Eilenberg cohomology; Moyal star product; Weyl correspondence; minimal realization; minimal coadjoint orbit; LIE-ALGEBRA; CONTRACTIONS;

D O I：

10.1142/S0219498819501251

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We recover the holomorphic discrete series representations of SU(1, n) as well as some unitary irreducible representations of SU(n + 1) by deformation of a minimal realization of sl(n+ 1,C).

引用

页数：15

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