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arXiv · 0704.0130

New simple modular Lie superalgebras as generalized prolongs

Sofiane Bouarroudj·Pavel Grozman·Dimitry Leites
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Abstract

Over algebraically closed fields of characteristic p>2, prolongations of the simple finite dimensional Lie algebras and Lie superalgebras with Cartan matrix are studied for certain simplest gradings of these algebras. Several new simple Lie superalgebras are discovered, serial and exceptional, including superBrown and superMelikyan superalgebras. Simple Lie superalgebras with Cartan matrix of rank 2 are classified.

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Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites. 2007-04-02. New simple modular Lie superalgebras as generalized prolongs. https://arxiv.org/abs/0704.0130

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