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).
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页数：15
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