MAA Reviews

<< homepage

 

show printer friendly

send to a friend

Introduction to Lie Algebras

Table of Contents

 Introduction.- Ideals and Homomorphisms.- Low Dimensional Lie Algebras.- Solvable Lie Algebras and a Rough Classification.- Subalgebras of gl(V).- Engel’s Theorem and Lie’s Theorem.- Some Representation Theory.- Representations of sl (2,C).- Cartan’s Criteria.- The Root Space Decomposition.- Root Systems.- The Classical Lie Algebras.- The Classification of Root Systems.- Simple Lie Algebras.- Further Directions.- Appendices: Linear Algebra; Weyl's Theorem; Cartan Subalgebras; Weyl Groups.- Solutions to Selected Exercises.- Bibliography.- Index.

Back to book details