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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.

MSC:

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