Construction of Lie Superalgebras from Triple Product Systems
Susumu Okubo
Abstract
Any simple Lie superalgebras over the complex field can be constructed from some triple systems. Examples of Lie superalgebras D(2,1;α), 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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