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Introduction to Lie Algebras

Karin Erdmann and Mark J. Wildon
Publisher: 
Springer Verlag
Publication Date: 
2006
Number of Pages: 
251
Format: 
Paperback
Series: 
Springer Undergraduate Mathematics Series
Price: 
39.95
ISBN: 
1846280400
Category: 
Textbook
We do not plan to review this book.

 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.

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