Adjoint and Coadjoint Orbits of the Poincaré Group

被引：0
|
作者：
Richard Cushman
Wilberd van der Kallen
机构：
[1] University of Utrecht,Mathematics Institute
来源：
Acta Applicandae Mathematica | 2006年 / 90卷
关键词：
adjoint orbit; coadjoint orbit; cotype; type; 20E45; 22E15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we give an effective method for finding a unique representative of each orbit of the adjoint and coadjoint action of the real affine orthogonal group on its Lie algebra. In both cases there are orbits which have a modulus that is different from the usual invariants for orthogonal groups. We find an unexplained bijection between adjoint and coadjoint orbits. As a special case, we classify the adjoint and coadjoint orbits of the Poincaré group.
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页码：65 / 89
页数：24
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