Construction of Lie Superalgebras from Triple Product Systems
classification
🧮 math-ph
math.MP
keywords
superalgebrastripleconstructionsystemsalphabalancedcomplexconstructed
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Any simple Lie superalgebras over the complex field can be constructed from some triple systems. Examples of Lie superalgebras $D(2,1;\alpha)$, G(3) and F(4) are given by utilizing a general construction method based upon $(-1,-1)$ balanced Freudenthal-Kantor triple system.
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