New simple modular Lie superalgebras as generalized prolongs |
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| Authors: | S. Bouarroudj P. Ya. Grozman D. A. Leites |
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| Affiliation: | (1) Department of Mathematics, United Arab Emirates University, Dubai, United Arab Emirates;(2) Equa Simulation AB, Stockholm, Sweden;(3) Department of Mathematics, University of Stockholm, Stockholm, Sweden |
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| Abstract: | Over algebraically closed fields of characteristic p > 2, —prolongations of simple finite dimensional Lie algebras and Lie superalgebras with Cartan matrix are studied for certain simplest gradings of these algebras. We discover several new simple Lie superalgebras, serial and exceptional, including super versions of Brown and Melikyan algebras, and thus corroborate the super analog of the Kostrikin-Shafarevich conjecture. Simple Lie superalgebras with 2 × 2 Cartan matrices are classified. |
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| Keywords: | Cartan prolong Lie superalgebra |
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