Tits construction of the exceptional simple Lie algebras

Details Tits construction of the exceptional simple Lie algebras Tits construction of the exceptional simple Lie algebras

2009-07-22

arxiv.org/abs/0907.3789v1

Mathematics

Rings and Algebras

18 pages. To appear in a special issue devoted to Tits of Pure and Applied Mathematics Quarterly

Scientific paper

The classical Tits construction of the exceptional simple Lie algebras has
been extended in a couple of directions by using either Jordan superalgebras or
composition superalgebras. These extensions are reviewed here. The outcome has
been the discovery of some new simple modular Lie superalgebras.

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