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Abstract
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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.
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Keywords
Lie superalgebra, Cartan matrix, simple,
modular, exceptional, orthosymplectic triple system
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Mathematical Subject Classification
Primary: 17B50
Secondary: 17B60, 17B25
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Milestones
Received: 9 May 2008
Accepted: 14 November 2008
Published: 2 March 2009
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