Construction of Lie Superalgebras from Triple Product Systems

Details Construction of Lie Superalgebras from Triple Product Systems Construction of Lie Superalgebras from Triple Product Systems

2003-06-11

arxiv.org/abs/math-ph/0306029v1

Physics

Mathematical Physics

8 pages, no figures

Scientific paper

10.1063/1.1632172

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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