Lower semimodular Lie algebras

DOI10.1017/S0013091500020496zbMath0943.17005OpenAlexW2123405214MaRDI QIDQ4487689

Vicente R. Varea

Publication date: 22 June 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500020496

zbMATH Keywords

subalgebra latticelower semimodular Lie algebrasmodular maximal subalgebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Modular Lie (super)algebras (17B50)

Related Items (4)

Lattice isomorphisms of Leibniz algebras ⋮ On the subalgebra lattice of a restricted Lie algebra ⋮ On Lie Algebras All of Whose Minimal Subalgebras Are Lower Modular ⋮ On the subalgebra lattice of a Leibniz algebra

Cites Work

• On ad-semisimple Lie algebras
• Rank one Lie algebras
• Cartan decompositions and Engel subalgebra triangulability
• Lie algebras with self-centralizing ad-nilpotent elements
• On Cartan subalgebras of Lie algebras
• Some theorems on saturated homomorphs of soluble Lie algebras
• Lie algebras none of whose engel subalgebras are in intermediate position*
• Modular subalgebras, quasi-ideals and inner ideals in lie algebras of prime characteristic
• Lie algebras whose maximal subalgebras are modular
• Quasi-Ideals of Lie Algebras I
• Quasi-Ideals of Lie Algebras II
• Supersimple and upper semimodular lie algebras
• Lie algebras all of whose proper subalgebras are solvable
• A Frattini Theory for Algebras

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