This book presents an introduction to the structure and representation theory of modular Lie algebras over fields of positive characteristic. It introduces the beginner to the theory of modular Lie algebras and is meant to be a reference text for researchers.

1. Classical Theory 2. Basic Theory of Restrictable Lie Algebras 3. Filtered and Graded Lie Algebras 4. Graded Lie Algebras of Cartan type 5. Representations of Modular Lie Algebras 6. The Ideal Structure of the Universal Enveloping Algebra