The Recognition Theorem for Graded Lie Algebras of Prime Characteristic
arXiv:math/0508373
Abstract
The Recognition Theorem for graded Lie algebras is an essential ingredient in the classification of finite-dimensional simple Lie algebras over an algebraically closed field of characteristic p > 3. The main goal of this monograph is to present the first complete proof of this fundamental result.
Some typos corrected - new version is the submitted version