Supplements to Maximal Subalgebras of Lie Algebras

DOI10.1080/00927872.2012.680206zbMath1290.17005arXiv1007.4902OpenAlexW1968317700MaRDI QIDQ2850831

David A. Towers

Publication date: 30 September 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4902

zbMATH Keywords

Lie algebramaximal subalgebrasupplement

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 (2)

Maximal subalgebras of the general linear Lie algebra containing Cartan subalgebras ⋮ Derived subalgebra and solvability of finite dimensional Lie algebra

Cites Work

• On Lie algebras in which modular pairs of subalgebras are permutable
• A characterization of the finite soluble groups
• Maximal isotropy groups of Lie groups related to nilradicals of parabolic subalgebras
• On the theory of soluble Lie algebras
• On Cartan subalgebras of Lie algebras
• Frattini subalgebras of a class of solvable Lie algebras
• The index complex of a maximal subalgebra of a Lie algebra
• C-Ideals of Lie Algebras
• Lie algebras all of whose maximal subalgebras have codimension one
• SUMS OF SIMPLE AND NILPOTENT LIE SUBALGEBRAS
• Nilpotent subspaces of maximal dimension in semi-simple Lie algebras
• DECOMPOSITIONS OF REDUCTIVE LIE GROUPS
• Classification of Semisimple Subalgebras of Simple Lie Algebras
• A Frattini Theory for Algebras

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