Lie algebras whose maximal subalgebras are modular

DOI10.1017/S0308210500016085zbMath0514.17004MaRDI QIDQ3659946

Vicente R. Varea

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite-dimensional Lie algebrascharacteristic zeromaximal modular subalgebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items (14)

Semi-modular subalgebras of a Lie algebra ⋮ Lattices with modular identity and Lie algebras ⋮ Projection of rational Lie rings ⋮ Lattice isomorphisms of Leibniz algebras ⋮ Fundamental theorem of affine geometry for Lie algebras ⋮ On the subalgebra lattice of a restricted Lie algebra ⋮ The index complex of a maximal subalgebra of a Lie algebra ⋮ Lattices of subrepresentations of Lie algebras and their isomorphisms ⋮ On Lie Algebras All of Whose Minimal Subalgebras Are Lower Modular ⋮ On semimodular Mal'cev algebras ⋮ On $n$-maximal subalgebras of Lie algebras ⋮ Lower semimodular Lie algebras ⋮ Fundamental theorem of projective geometry in Lie modules and algebras ⋮ On the subalgebra lattice of a Leibniz algebra

Cites Work

• On the cohomology of soluble Lie algebras
• Endliche Gruppen mit vielen modularen Untergruppen
• Frattini subalgebras of a class of solvable Lie algebras
• On Complemented Lie Algebras
• Quasi-Ideals of Lie Algebras I
• A Frattini Theory for Algebras
• Elementary Lie Algebras

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