Invariant functions and contractions of certain types of Lie algebras of lower dimensions

被引：0
|
作者：
J. M. Escobar
J. Núñez
P. Pérez-Fernández
机构：
[1] Universidad de Sevilla,Dpto. de Geometría y Topología. Facultad de Matemáticas
[2] Escuela Técnica Superior de Ingeniería. Universidad de Sevilla,Dpto. de Física Aplicada III
来源：
Journal of Nonlinear Mathematical Physics | 2018年 / 25卷
关键词：
Contractions; invariant functions ; filiform Lie algebras; 17B30; 17B40; 17B51;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we deal with contractions of Lie algebras. We use two invariant functions of Lie algebras as a tool, named ψ and φ function, respectively, which have a great application in Physics due to their remarkable properties. We focus the study of these functions in the frame of the filiform Lie algebras, trying to extend to these algebras some of the properties of such functions over semi-simple Lie algebras.
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页码：358 / 374
页数：16
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