Journal of Lie Theory 18 (2008), No. 3, 601--615
Copyright Heldermann Verlag 2008
The Tits Construction and Some Simple Lie Superalgebras in Characteristic 3
Alberto Elduque
Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
elduque@unizar.es
Some simple Lie superalgebras, specific of characteristic 3, defined by S. Bouarroudj and D. Leites [Zap. Nauchn. Sem. St. Peterburg Otdel. Mat. Inst. Steklov (POMI) 331 (2006), no. Teor. Predst. Din. Sist. Komb. i Algoritm. Metody 14, 15--29, 221], will be related to the simple alternative and commutative superalgebras discovered by I. P. Shestakov [Algebra i Logika 36 (1997) 675--716, 722].
Keywords: Lie superalgebra, simple, modular, Tits construction, alternative superalgebra.
MSC: 17B50, 17B60
[ Fulltext-pdf (200 KB)] for subscribers only.