ON SEMI-MODULAR SUBALGEBRAS OF LIE ALGEBRAS OVER FIELDS OF ARBITRARY CHARACTERISTIC

DOI10.1142/S1793557108000254zbMath1189.17018arXiv0804.1468OpenAlexW2963877650MaRDI QIDQ3520552

David A. Towers

Publication date: 26 August 2008

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1468

zbMATH Keywords

Lie algebrarestricted Lie algebrasubalgebra latticesolvable Lie algebraquasi-idealmodular subalgebraLie algebras of absolute toral rank onelower modular subalgebraone-and-a-half generation propertysemi-modular subalgebraupper modular subalgebra

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (2)

Lattices of Subalgebras of Leibniz Algebras ⋮ On the Lengths of Certain Chains of Subalgebras in Lie Algebras

Cites Work

• On ad-semisimple Lie algebras
• Rank one Lie algebras
• On Lie algebras with modular lattices of subalgebras
• Semi-modular subalgebras of a Lie algebra
• A generalization of Wilson's theorem on Cartan subalgebras of simple Lie algebras
• Toral rank one simple Lie algebras of low characteristics
• Modular subalgebras, quasi-ideals and inner ideals in lie algebras of prime characteristic
• Modularity* in Lie algebras

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