AI & Computingarticle2026-10-02

Characterising semi-simple Lie algebras by their Borel nilpotent radical

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Abstract

We show that semi-simple Lie algebras can be characterized by their maximal nilpotent subalgebra, which is the same as the nilpotent radical of a Borel subalgebra.

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View paper (DOI)Open access versionOpenAlexJournal of Lie TheoryPublished 2026-10-02

Authors: Guy Kapon, Lior Hadassy

Institutions: Tel Aviv University, Weizmann Institute of Science