Examples of Freudenthal-Kantor triple systems. (English) Zbl 1360.17008

Summary: Symmetry group of Lie algebras and superalgebras constructed from \((\varepsilon,\delta)\) Freudenthal-Kantor triple systems has been studied. Also, the definition and examples of hermitian triple systems is introduced in this note.


17A40 Ternary compositions
17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.)
17C50 Jordan structures associated with other structures
Full Text: Euclid