New simple modular Lie superalgebras as generalized prolongs

Details New simple modular Lie superalgebras as generalized prolongs New simple modular Lie superalgebras as generalized prolongs

2007-04-02

arxiv.org/abs/0704.0130v1

Funktsional. Anal. i Prilozhen 42, no. 3, (2008), 1-9; English transl.: Funct. Anal. and its Appl., 42, no. 3, (2008), 161-168

Mathematics

Representation Theory

20 pages, to appear in Funktsional. Anal. i Prilozhen

Scientific paper

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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