The index complex of a maximal subalgebra of a Lie algebra

DOI10.1017/S0013091509001035zbMath1228.17007arXiv1006.5636WikidataQ115336664 ScholiaQ115336664MaRDI QIDQ3006332

David A. Towers

Publication date: 10 June 2011

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

Full work available at URL: https://arxiv.org/abs/1006.5636

zbMATH Keywords

Lie algebrassolvablemaximal subalgebraindex complexsupersolvable algebraideal index

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

Criteria for solvability and supersolvability in Leibniz algebras ⋮ On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras ⋮ Derived subalgebra and solvability of finite dimensional Lie algebra ⋮ On theta pairs and theta completions for proper subalgebras in Leibniz algebras ⋮ \(c\)-sections of Lie algebras ⋮ On the theta completions for maximal subalgebras ⋮ On CAP*-subalgebras of Lie Algebras ⋮ Supplements to Maximal Subalgebras of Lie Algebras ⋮ The Ideal Index of Subalgebras of a Finite Dimensional Lie Algebra

Cites Work

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• The normal index of a finite group.
• A note on the index complex of a maximal subgroup
• On the cohomology of soluble Lie algebras
• Nilpotency of Lie algebras
• C-Ideals of Lie Algebras
• Lie algebras whose maximal subalgebras are modular
• Lie algebras all of whose maximal subalgebras have codimension one
• A Frattini Theory for Algebras

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