Memoirs of the American Mathematical Society 2009; 145 pp; softcover Volume: 197 ISBN10: 0821842269 ISBN13: 9780821842263 List Price: US$76 Individual Members: US$45.60 Institutional Members: US$60.80 Order Code: MEMO/197/920
 The "Recognition Theorem" for graded Lie algebras is an essential ingredient in the classification of finitedimensional 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. Table of Contents  Graded Lie algebras
 Simple Lie algebras and algebraic groups
 The contragredient case
 The noncontragredient case
 Bibliography
