Some results on nilpotent Lie algebras

Author(s):

S. S. Gashti *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Let $L$ be a finite dimensional Lie algebra over an arbitrary field $F$. In this paper, we prove that the class of finite nilpotent(solvable) Lie algebras is an example of formation. Furthermore, we conclude that every finite Lie algebra has a nilpotent(solvable) residual. Finally we prove some results on Frattini and Fitting subalgebras of the nilpotent Lie algebra $L$.
Keywords:

Lie Algebra , nilpotent , Frattini , Fitting , formation

Language:
English
Published:
Journal of Algebra and Related Topics, Volume:11 Issue: 2, Autumn 2023
Pages:
99 to 103
https://www.magiran.com/p2671539