Cyclic elements in semisimple lie algebras

被引：0
|
作者：
A. G. Elashvili
V. G. Kac
E. B. Vinberg
机构：
[1] Razmadze Mathematical Institute,Department of Mathematics
[2] M.I.T.,undefined
[3] Moscow State University,undefined
[4] Department of Mathematics,undefined
来源：
Transformation Groups | 2013年 / 18卷
关键词：
Conjugacy Class; Weyl Group; Regular Element; Nilpotent Element; Nilpotent Orbit;
D O I：
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学科分类号：
摘要：
We develop a theory of cyclic elements in semisimple Lie algebras. This notion was introduced by Kostant, who associated a cyclic element with the principal nilpotent and proved that it is regular semisimple. In particular, we classfiy all nilpotents giving rise to semisimple and regular semisimple cyclic elements. As an application, we obtain an explicit construction of all regular elements in Weyl groups.
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页码：97 / 130
页数：33
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