Towards classification of simple nite dimensional modular lie super agebras

Abstract

We use standard notations of [FH, S]; for a precise definition of the Cartan
prolongation and its generalizations (Cartan-Tanaka-Shchepochkina or CTSprolongations), see [Shch]; see also [BGL3]–[BGL5], [Leb1, Leb2]. Hereafter
K is an algebraically closed (unless finite) field, char K = p.
The works of S. Lie, Killing and Cartan, now classical, completed classification over C of simple Lie algebras