Journal of Lie Theory

no. 2-3
Characterising semi-simple Lie algebras by their Borel nilpotent radical
Kapon, Guy1; Hadassy, Lior2
1Faculity of Mathematics, Weizmann institute, Hertzel 234, Rehovot, 7610001, Israel
2Faculity of Mathematics, Tel Aviv University, Kiryat HaUniversita, Ramat Aviv, Tel Aviv, 6139001, Israel
Journal of Lie Theory, Volume 36 (2026) no. 2-3, pp. 517-527

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.

Received:
Accepted:
Published online:
DOI: 10.5802/jolt.1438
Classification: 17B20, 17B30
Keywords: Lie algebras, semi-simple, nilpotent, Borel, characterising

Kapon, Guy  1 ; Hadassy, Lior  2

1 Faculity of Mathematics, Weizmann institute, Hertzel 234, Rehovot, 7610001, Israel
2 Faculity of Mathematics, Tel Aviv University, Kiryat HaUniversita, Ramat Aviv, Tel Aviv, 6139001, Israel 
Kapon, Guy; Hadassy, Lior. Characterising semi-simple Lie algebras by their Borel nilpotent radical. Journal of Lie Theory, Volume 36 (2026) no. 2-3, pp. 517-527. doi: 10.5802/jolt.1438
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