Simple Lie algebras having extremal elements

DOI10.1016/S0019-3577(09)00003-2zbMath1173.17018arXiv0711.4268OpenAlexW3105376286MaRDI QIDQ1005522

Gábor Ivanyos, Arjeh M. Cohen, Dan Roozemond

Publication date: 9 March 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4268

zbMATH Keywords

simple Lie algebramodular Lie algebrassandwich elements

Mathematics Subject Classification ID

Modular Lie (super)algebras (17B50)

Related Items (11)

Extremal elements in Lie algebras, buildings and structurable algebras ⋮ The Geometry of Extremal Elements in a Lie Algebra ⋮ A geometric characterization of the symplectic Lie algebra ⋮ On Lie algebras generated by few extremal elements ⋮ A sum-bracket theorem for simple Lie algebras ⋮ Recovering the Lie algebra from its extremal geometry ⋮ Inner ideals in Lie algebras and spherical buildings ⋮ Inner ideals of Lie algebras of skew elements of prime rings with involution ⋮ The Lie Inner Ideal Structure of Associative Rings Revisited ⋮ Unnamed Item ⋮ Inner ideals of real simple Lie algebras

Uses Software

• GBNP

Cites Work

• Unnamed Item
• Root shadow spaces
• Simple Lie algebras of small characteristic. I: Sandwich elements
• Root filtration spaces from Lie algebras and abstract root groups
• LIE ALGEBRAS WITHOUT STRONG DEGENERATION
• On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras
• On the Mills-Seligman Axioms for Lie Algebras of Classical Type
• Simple Lie algebras over fields of positive characteristic. I: Structure theory
• Lie algebras generated by extremal elements.
• Simple Lie algebras of small characteristic. III: The toral rank 2 case,

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