Some new simple modular Lie superalgebras

Mathematics – Rings and Algebras

Scientific paper

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21 pages

Scientific paper

Two new simple modular Lie superalgebras are obtained in characteristics 3
and 5, which share the property that their even parts are orthogonal Lie
algebras and the odd parts their spin modules. The characteristic 5 case is
shown to be related, by means of a construction of Tits, to the exceptional ten
dimensional Jordan superalgebra of Kac.

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