On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras

DOI10.2307/1998926zbMath0373.17003OpenAlexW4212939049MaRDI QIDQ4149583

Georgia M. Benkart

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1998926

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65) Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Abelian Non Jordan-Lie Inner Ideals of the Orthogonal Finite Dimensional Lie Algebras, An elemental characterization of strong primeness in Lie algebras, Simple Lie algebras of small characteristic. I: Sandwich elements, Jordan algebras at Jordan elements of semiprime rings with involution, The Geometry of Extremal Elements in a Lie Algebra, The Jordan algebras of a Lie algebra, Classification of Lie bialgebras over current algebras, Unnamed Item, The Kostrikin radical and similar radicals of Lie algebras, Simple, locally finite dimensional Lie algebras in positive characteristic, Generalization of Jordan-Lie inner ideals of finite dimensional associative algebras, Развитие понятия «артиновость» для алгебр Ли, A filtration associated to an abelian inner ideal of a Lie algebra, Lie algebras with an algebraic adjoint representation revisited, On the speciality of Jordan algebras and subquotients of Lie algebras, Endomorphisms and null subalgebras of finite dimensional algebras revisited, Nonassociative rings, Inner ideals in Lie algebras and spherical buildings, The socle of a nondegenerate Lie algebra, An Artinian theory for Lie algebras, Lie algebras generated by extremal elements., An elemental characterization of orthogonal ideals in Lie algebras, The Jordan socle and finitary Lie algebras, The Lie inner ideal structure of associative rings, Inner ideal structure of nearly Artinian Lie algebras, On a class of finitary Lie algebras characterized through derivations, Inner ideals of Lie algebras of skew elements of prime rings with involution, Simple Lie algebras having extremal elements, Jordan-Lie inner ideals of finite dimensional associative algebras, Simple and semisimple structurable algebras, An example of a simple structurable algebra, Primitive Lie PI-algebras, Unnamed Item, Inner ideals of real simple Lie algebras, On the Existence of Ad-Nilpotent Elements

Cites Work

• Nonclassical simple Lie algebras and strong degeneration
• Über eine Klasse von Lie-Algebren
• Determination of the differentiably simple rings with a minimal ideal
• On classifying simple Lie algebras of prime characteristic by nilpotent elements
• A Construction of Lie Algebras by Triple Systems
• A Construction of Lie Algebras From J-Ternary Algebras
• On the Mills-Seligman Axioms for Lie Algebras of Classical Type
• THE RADICAL OF A JORDAN ALGEBRA
• Enveloping Algebras of Semi-Simple Lie Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item