Abstract. The simple finite dimensional (−1, −1) balanced Freudenthal Kantor triple systems over fields of characteristic zero are classified.2000 Mathematics Subject Classification. 17A40, 17B20, 17B25.
We will present an investigation of (e, <5)-Freudenthal-Kantor supertriple systems that are intimately related to Lie supertriple systems and Lie superalgebras. We can also introduce a super analogue of Nijenhuis tensor and almost-complex structure in differential geometry.
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