Toral rank one Lie algebras

DOI10.1016/0021-8693(88)90293-1zbMath0644.17009OpenAlexW2009140276WikidataQ56851158 ScholiaQ56851158MaRDI QIDQ1102367

J. Marshall Osborn, Georgia M. Benkart

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90293-1

zbMATH Keywords

simple Lie algebratoral rank one Cartan subalgebra

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items

The classification of the simple modular Lie algebras. V: Algebras with Hamiltonian two-sections ⋮ Classification of restricted simple Lie algebras ⋮ Toral rank one simple Lie algebras of low characteristics ⋮ Thin loop algebras of Albert-Zassenhaus algebras ⋮ The Structure of Cyclic Lie Algebras ⋮ Gradings of non-graded Hamiltonian Lie algebras ⋮ Modular subalgebras, quasi-ideals and inner ideals in lie algebras of prime characteristic

Cites Work

• Unnamed Item
• Unnamed Item
• Cartan decompositions and Engel subalgebra triangulability
• Simple Lie algebras of type S
• The simple Lie \(p\)-algebras of rank two
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• Lie algebras with self-centralizing ad-nilpotent elements
• Albert-Zassenhaus Lie algebras and isomorphisms
• Über Wittsche Lie-Ringe
• The Structure of Cyclic Lie Algebras
• Cartan Subalgebras of Zassenhaus Algebras
• Quasi-Ideals of Lie Algebras II
• The roots of a simple Lie algebra are linear
• Cartan Subalgebras of Simple Lie Algebras
• Simple Lie Algebras of Toral Rank One
• Introduction to Lie Algebras and Representation Theory