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arXiv 2005-12-30 0 views

Some new simple modular Lie superalgebras

Elduque, Alberto

Original · EN

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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