Models of some simple modular Lie superalgebras

Alberto Elduque

Vol. 240 (2009), No. 1, 49–83

DOI: 10.2140/pjm.2009.240.49

Abstract

We provide models of the exceptional simple modular Lie superalgebras in characteristic p ≥ 3 that appeared in the 2007 classification by Bouarroudj, Grozman and Leites of Lie superalgebras with indecomposable symmetrizable Cartan matrices. The models relate these exceptional Lie superalgebras to some low-dimensional nonassociative algebraic systems.

Keywords

Lie superalgebra, Cartan matrix, simple, modular, exceptional, orthosymplectic triple system

Mathematical Subject Classification 2000

Primary: 17B50

Secondary: 17B60, 17B25

Milestones

Received: 9 May 2008

Accepted: 14 November 2008

Published: 2 March 2009