On maximal subalgebras and a generalised Jordan-H\"older Theorem for Lie algebras
David A. Towers
TL;DR
This paper advances the understanding of the structure of Lie algebras by strengthening the Jordan-Hölder Theorem for chief series, focusing on maximal subalgebras and chief factors.
Contribution
It introduces a generalized version of the Jordan-Hölder Theorem for Lie algebras, extending previous results on chief factors and subalgebra structure.
Findings
Strengthened Jordan-Hölder Theorem for Lie algebras
New insights into maximal subalgebras and chief factors
Enhanced classification of Lie algebra structures
Abstract
The purpose of this paper is to continue the study of chief factors of a Lie algebra and to prove a further strengthening of the Jordan-H\"older Theorem for chief series.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry