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New modular Lie superalgebras as prolongs
Sofiane Bouarroudj, Dimitry A. Leites and Pavel Grozman
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 gradings of these algebras. Three new series of Lie superalgebras are discovered.