Simple anti-jordan pairs1

DOI10.1080/00927878008822505zbMath0447.17003OpenAlexW1979178945MaRDI QIDQ3892401

John R. Faulkner, Joseph C. Ferrar

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822505

zbMATH Keywords

classificationLie superalgebraJordan pairanti-Jordan pairsimple contragredient anti-Jordan pair

Mathematics Subject Classification ID

Superalgebras (17A70) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Jordan algebras (algebras, triples and pairs) (17C99) Lie geometries in nonlinear incidence geometry (51B25) Ternary compositions (17A40)

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Identity classification in triple systems ⋮ On the Faulkner construction for generalized Jordan superpairs ⋮ Freudenthal gauge theory ⋮ Simplicity of lie module triple systems ⋮ Jordan quadruple systems ⋮ The universal associative envelope of the anti-Jordan triple system of \(n\times n\) matrices ⋮ Simple jordan superpairs ⋮ Representations of simple anti-Jordan triple systems of m × n matrices ⋮ Classification of Trilinear Operations ⋮ Irreducible Lie-Yamaguti algebras of generic type ⋮ A construction of simple Lie subalgebras of certain types from triple systems ⋮ Topics in isotopic pairs and their representations. II: The general supercase ⋮ On the Lie-algebraic origin of metric 3-algebras ⋮ On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems ⋮ Derivation invariant bilinear forms without traces ⋮ A construction of Lie algebras and Lie superalgebras by Freudenthal-Kantor triple systems. I

Cites Work

• Unnamed Item
• Jordan pairs
• On the geometry of inner ideals
• Lie superalgebras