A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS
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Publication:3094655
DOI10.1017/S0017089511000371zbMath1253.17005OpenAlexW2109346431MaRDI QIDQ3094655
Daniel Mondoc, Noriaki Kamiya, Susumu Okubo
Publication date: 25 October 2011
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0017089511000371
Lie algebraLie superalgebrastructurableFreudenthal-Kantor triple system\(5\)-gradedanti-structurableleft-unital
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 ⋮ A Review of Peirce Decomposition for Unitary $$(-1,-1)$$-Freudenthal Kantor Triple Systems
Cites Work
- On anti-structurable algebras and extended Dynkin diagrams
- On compact realifications of exceptional simple Kantor triple systems
- Compact realifications of exceptional simple Kantor triple systems defined on tensor products of composition algebras
- A new class of nonassociative algebras with involution
- Jordan triple systems by the grid approach
- A structure theory of Freudenthal-Kantor triple systems
- A class of nonassociative algebras with involution containing the class of Jordan algebras
- The theory of Lie superalgebras. An introduction
- Jordan-Lie super algebra and Jordan-Lie triple system
- Symmetric triality relations and structurable algebras
- A construction of simple Jordan superalgebra of \(F\) type from a Jordan-Lie triple system
- \((-1,-1)\)-balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras
- Models of Compact Simple Kantor Triple Systems Defined on a Class of Structurable Algebras of Skew-Dimension One
- Graded Lie algebras and generalized Jordan triple systems
- Models of isotropic simple lie algebras
- Imbedding of Jordan Algebras Into Lie Algebras. II
- Structurable triples, Lie triples, and symmetric spaces
- On the peirce decompositions for freudenthal—kantor triple systems
- A Peirce Decomposition for Generalized Jordan Triple Systems of Second Order
- SIMPLE $(-1,-1)$ BALANCED FREUDENTHAL KANTOR TRIPLE SYSTEMS
- A construction of simple Lie subalgebras of certain types from triple systems
- On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems
- CONSTRUCTION OF LIE SUPERALGEBRAS $D(2,1;\alpha)$,\$G(3)$ AND $F(4)$ FROM SOME TRIPLE SYSTEMS
- QUASI-CLASSICAL LIE SUPERALGEBRAS AND LIE SUPERTRIPLE SYSTEMS
- A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS
- Compact Exceptional Simple Kantor Triple Systems Defined on Tensor Products of Composition Algebras∗
- Imbedding of Jordan Algebras into Lie Algebras. I
- Lie and Jordan Triple Systems
- Lie superalgebras