Symmetry of Lie algebras associated with (ε, δ)-Freudenthal-Kantor triple system
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Publication:5743625
DOI10.1017/S0013091514000406zbMath1395.17040arXiv1303.0072OpenAlexW2303799165MaRDI QIDQ5743625
Publication date: 5 February 2016
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.0072
Graded Lie (super)algebras (17B70) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Ternary compositions (17A40)
Related Items
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, Triality groups associated with triple systems and their homotope algebras
Cites Work
- Lie algebras with \(S_4\)-action and structurable algebras
- \(S_4\)-symmetry on the Tits construction of exceptional Lie algebras and superalgebras
- Gradings on finite-dimensional simple Lie algebras
- A class of nonassociative algebras with involution containing the class of Jordan algebras
- Nonassociative coefficient algebras for Steinberg unitary Lie algebras
- Symmetric triality relations and structurable algebras
- Left unital Kantor triple systems and structurable algebras
- Special Freudenthal–Kantor triple systems and Lie algebras with dicyclic symmetry
- Lie algebras with S3- or S4-action and generalized Malcev algebras
- On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems
- A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS
- Universal Associative Envelopes of Nonassociative Triple Systems