On minimal ideals of Lie algebras

2020/07/03 by Barnes, Donald W.
#17B05 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2007.03426

Abstract

We show that a minimal ideal of a finite-dimensional Lie algebra is either simple or abelian.

Related

• Inner ideals of real simple Lie algebras
• Abelian ideals of maximal dimension for solvable Lie algebras
• Three Minimax Ideal Relations of Lie Algebras
• Abelian ideals in a Borel subalgebra of a complex simple Lie algebra
• Abelian ideals with given dimension in Borel subalgebras