On the mirabolic Lie algebra

被引：0
|
作者：
Kirillov, A. A. [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia
[2] Univ Penn, Dept Math, Philadelphia, PA 19104 USA
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2014年 / 48卷 / 02期
关键词：
Lie groups; Lie algebras; representations;
D O I：
10.1007/s10688-014-0055-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Lie algebra of (n + 1) x (n + 1) matrices with zeros in the last row. This algebra has received the name of mirabolic; it has many remarkable properties and plays an important role in representation theory. In this paper we study open coadjoint orbits for the corresponding Lie group P (n) .
引用
收藏
页码：145 / 149
页数：5
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