Cartan Subalgebras of Simple Lie Algebras

DOI10.2307/1997929zbMath0366.17002OpenAlexW4234603276MaRDI QIDQ4141945

Robert Lee Wilson

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997929

zbMATH Keywords

Cartan subalgebrafinite dimensional simple Lie algebra

Mathematics Subject Classification ID

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

Related Items

The classification of the simple modular Lie algebras. V: Algebras with Hamiltonian two-sections, Simple Lie Algebras of Toral Rank One, Simple Lie algebras of small characteristic. I: Sandwich elements, Classification of restricted simple Lie algebras, Toral rank one Lie algebras, Toral rank one simple Lie algebras of low characteristics, The roots of a simple Lie algebra are linear, \(c\)-sections of Lie algebras, Simple Lie algebras of small characteristic. II: Exceptional roots, Classification of the restricted simple Lie algebras with toral Cartan subalgebras, Cohomology groups of reduced enveloping algebras

Cites Work

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• Cartan decompositions for Lie algebras of prime characteristic
• On the toral structure of Lie p-algebras
• Nodal noncommutative Jordan algebras and Lie algebras in characteristic \(p>2\)
• The roots of a simple Lie algebra are linear