Quasi-Whittaker modules over the conformal Galilei algebras

被引：1
|
作者：
Cai, Yan-an [1 ]
Chen, Qiufan [2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
[2] Shanghai Maritime Univ, Dept Math, Shanghai, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 02期
关键词：
Conformal Galilei algebras; quasi-Whittaker modules; simple modules; IRREDUCIBLE REPRESENTATIONS; SCHRODINGER ALGEBRA; VIRASORO ALGEBRA; SL(2);
D O I：
10.1080/03081087.2016.1183561
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study quasi-Whittaker modules over the conformal Galilei algebras. We determine all quasi-Whittaker vectors and the simplicities of the universal quasi-Whittaker modules. For the reducible ones, we determine the corresponding simple quotient modules. Thus we classify all simple quasi-Whittaker modules for the conformal Galilei algebras.
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页码：313 / 324
页数：12
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