C-sections of Lie algebras

David A. Towers

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arXiv · 1410.2107

C-sections of Lie algebras

David A. Towers

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Abstract

Let $M$ be a maximal subalgebra of a Lie algebra $L$ and $A/B$ a chief factor of $L$ such that $B \subseteq M$ and $A \not \subseteq M$. We call the factor algebra $M \cap A/B$ a $c$-section of $M$. All such $c$-sections are isomorphic, and this concept is related those of $c$-ideals and ideal index previously introduced by the author. Properties of $c$-sections are studied and some new characterizations of solvable Lie algebras are obtained.

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David A. Towers. 2014-12-02. C-sections of Lie algebras. https://arxiv.org/abs/1410.2107

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