SIMPLE $(-1,-1)$ BALANCED FREUDENTHAL KANTOR TRIPLE SYSTEMS

DOI10.1017/S0017089503001290zbMath1041.17001OpenAlexW2165015129MaRDI QIDQ4461571

Noriaki Kamiya, Alberto Elduque, Susumu Okubo

Publication date: 18 May 2004

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089503001290

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20) Ternary compositions (17A40)

Related Items (12)

New simple Lie superalgebras in characteristic 3 ⋮ The extended Freudenthal magic square and Jordan algebras ⋮ On certain algebraic structures associated with Lie (super)algebras ⋮ On constructions of Lie (super) algebras and (𝜀,δ)-Freudenthal–Kantor triple systems defined by bilinear forms ⋮ A new class of nonassociative algebras with involution ⋮ Representations of (α, β, γ) triple system ⋮ Irreducible Lie-Yamaguti algebras of generic type ⋮ A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS ⋮ A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS ⋮ A construction of simple Lie subalgebras of certain types from triple systems ⋮ A Review of Peirce Decomposition for Unitary $$(-1,-1)$$-Freudenthal Kantor Triple Systems ⋮ \((-1,-1)\)-balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras

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