SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS

被引：1
|
作者：
Elashvili, A. G. [1 ]
Jibladze, M. [1 ]
Kac, V. G. [2 ]
机构：
[1] TSU, Razmadze Math Inst, Tbilisi 0186, Georgia
[2] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
TRANSFORMATION GROUPS | 2022年 / 27卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s00031-020-09568-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg. Its main result is the classification of semisimple cyclic elements in semisimple Lie algebras. The importance of this classification stems from the fact that each such element gives rise to an integrable hierarchy of Hamiltonian PDE of Drinfeld-Sokolov type.
引用
收藏
页码：429 / 470
页数：42
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