Preprint 146/2006

New modular Lie superalgebras as prolongs

Sofiane Bouarroudj, Dimitry A. Leites, and Pavel Grozman

Contact the author: Please use for correspondence this email.
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
Download full preprint: PDF (146 kB)

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.

23.06.2018, 02:11