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MiS Preprint
146/2006

New modular Lie superalgebras as prolongs

Sofiane Bouarroudj, Dimitry A. Leites and Pavel Grozman

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.

Received:
Dec 8, 2006
Published:
Dec 8, 2006
MSC Codes:
17B50, 70F25
Keywords:
Cartan prolongation, Lie superalgebra

Related publications

inJournal
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