%0 Journal Article %T The Recognition Theorem for Graded Lie Algebras of Prime Characteristic %A Georgia Benkart %A Thomas Gregory %A Alexander Premet %J Mathematics %D 2005 %I arXiv %X 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. %U http://arxiv.org/abs/math/0508373v2