Tits construction of the exceptional simple Lie algebras

Abstract

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.

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

References in corpus (2)

• The Tits construction and some simple Lie superalgebras in characteristic 3
• Gradings on symmetric composition algebras