Tits-Kantor-Koecher algebras of strongly prime Hermitian Jordan pairs

DOI10.1016/j.jalgebra.2003.10.016zbMath1098.17018OpenAlexW1971526834MaRDI QIDQ1882878

Esther García

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.016

zbMATH Keywords

Lie algebraJordan pairstrongly primehermitianTKK-construction

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

An elemental characterization of strong primeness in Lie algebras ⋮ Tits-Kantor-Koecher Lie algebras of JB*-triples ⋮ Algebras of quotients of graded Lie algebras ⋮ SIMPLE, PRIMITIVE, AND STRONGLY PRIME JORDAN 3-GRADED LIE ALGEBRAS ⋮ Prime quotients of Jordan systems and Lie algebras

Cites Work

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• The structure of strongly prime quadratic Jordan algebras
• Quadratic Jordan systems of Hermitian type
• Jordan pairs
• Strong primeness of hermitian Jordan systems
• LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION
• Imbedding of Jordan Algebras Into Lie Algebras. II
• 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.