A CONTRACTION OF THE PRINCIPAL SERIES REPRESENTATIONS OF SL(2, R)

被引：0

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：

KODAI MATHEMATICAL JOURNAL | 2021年 / 44卷 / 03期

关键词：

Contractions of Lie groups; contractions of representations; SL(2; R); Heisenberg group; coadjoint orbits; Weyl correspondence; DISCRETE-SERIES; OPERATORS; QUANTIFICATION; SU(2);

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and study a contraction of the principal series representations of SL(2, R) to the unitary irreducible representations of the Heisenberg group. We interpret the contraction results in terms of Weyl correspondences on the coadjoint orbits associated with the representations.

引用

页码：422 / 436

页数：15

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