New modular Lie superalgebras as prolongs

Sofiane Bouarroudj, Dimitry A. Leites, and Pavel Grozman

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Submission date: 08. Dec. 2006
Pages: 6
published in: Funkcionalnyj analiz i ego prilozenija, 42 (2008) 3, p. 1-9 
DOI number (of the published article): 10.4213/faa2924
Bibtex
with the following different title: New modular Lie superalgebras as generalized prolongations
MSC-Numbers: 17B50, 70F25
Keywords and phrases: Cartan prolongation, Lie superalgebra
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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 gradings of these algebras. Three new series of Lie superalgebras are discovered.