Winter, David J. <br/><br/>
Abstract Lie algebras/ 
David J. Winter. 
 - New York:  Dover,  2010. 
 - viii, 150 p. ;  22 cm. 
 - Dover books on mathematics. .
<br/><br/>Preface; 1.1 Introduction; 1.2 Complete Reducibility; 1.3 Ascent and Descent; 1.4 Jordan Decomposition; 1.5 Fitting Decomposition; 1 Modules; 2.1 Introduction; 2.2 Ascent and Descent; 2.3 Translations and the Multiplication Algebra; 2.4 Derivations; 2.5 Solvability; the Radical of u; 2.6 Simplicity and Semisimplicity; 2.7 Nonassociative Algebras with Invariant Forms; 2.8 Lie Algebras with Invariant Forms; 2 Nonassociative Algebras; 3.1 Introduction; 3.2 Nilpotent Lie Algebras; Engel's Theorem; 3.3 Cartan Subalgebras; 3.4 Solvable Lie Algebras. 3.5 Cartan's Criteria3.6 Existence of Complements; 3.7 Classification of Split Semisimple Lie Algebras; 3.8 Automorphisms; Conjugacy Theorems; 3 Lie Algebras of Characteristic 0; 4.1 Introduction; 4.2 A-graded Lie Algebras; 4.3 Nilpotent Lie Algebras; 4.4 Cartan Subalgebras; 4.5 The Toral Structure of a Lie p-Algebra; 4.6 Exponentials; 4 Lie Algebras of Arbitrary Characteristic; Appendix The Zariski Topology; References; Index. 
<br/><br/><label>ISBN: </label>9780486462820 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Lie algebras	
<br/><br/><label>Dewey Class. No.: </label>512.482  / WIN/A