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MiS Preprint

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.

MSC Codes:
17B50, 70F25
Cartan prolongation, Lie superalgebra

Related publications

2008 Repository Open Access
Sofiane Bouarroudj, Pavel Grozman and D. A. Leites

New modular Lie superalgebras as generalized prolongations

In: Funkcionalnyj analiz i ego prilozenija, 42 (2008) 3, pp. 1-9