SIMPLE, PRIMITIVE, AND STRONGLY PRIME JORDAN 3-GRADED LIE ALGEBRAS

DOI10.1081/AGB-200047444zbMath1070.17008MaRDI QIDQ4678662

Esther García

Publication date: 23 May 2005

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

zbMATH Keywords

heartLieprimeprimitiveJordan3-graded

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Structure theory for Jordan algebras (17C10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

• Unnamed Item
• Prime Jordan triple systems
• Prime Jordan triple systems. III
• The structure of strongly prime quadratic Jordan algebras
• Steinberg groups and simplicity of elementary groups defined by Jordan pairs
• Maximal modular inner ideals and the Jacobson radical of a Jordan algebra
• Quadratic Jordan systems of Hermitian type
• Jordan pairs
• The Lie inner ideal structure of associative rings
• Primitivity in Jordan systems is ubiquitous
• Simplicity of the heart of a nondegenerate Jordan system
• The structure of quadratic Jordan systems of Clifford type
• Tits-Kantor-Koecher algebras of strongly prime Hermitian Jordan pairs
• Elementary groups and stability for Jordan pairs
• The local algebras of Jordan systems
• Primitive Jordan pairs and triple systems
• Lie algebras graded by finite root systems and intersection matrix algebras
• On prime Jordan triple systems. II
• Von Neumann regularity in Jordan triple systems
• ABSOLUTE ZERO DIVISORS IN JORDAN PAIRS AND LIE ALGEBRAS
• Imbedding of Jordan Algebras Into Lie Algebras. II
• Jordan centroids
• Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
• Imbedding of Jordan Algebras into Lie Algebras. I
• Herstein's theorems and simplicity of Hermitian Jordan systems.

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