You are here

Lie Algebras of Finite and Affine Type

Publisher: 
Cambridge University Press
Number of Pages: 
632
Price: 
80.00
ISBN: 
0-521-85138-6
Date Received: 
Wednesday, January 25, 2006
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Roger Carter
Series: 
Cambridge Studies in Advanced Mathematics 96
Publication Date: 
2005
Format: 
Hardcover
Category: 
Monograph
Tags: 

 1. Basic concepts; 2. Representations of soluble and nilpotent Lie algebras; 3. Cartan subalgebras; 4. The Cartan decomposition; 5. The root systems and the Weyl group; 6. The Cartan matrix and the Dynkin diagram; 7. The existence and uniqueness theorems; 8. The simple Lie algebras; 9. Some universal constructions; 10. Irreducible modules for semisimple Lie algebras; 11. Further properties of the universal enveloping algebra; 12. Character and dimension formulae; 13. Fundamental modules for simple Lie algebras; 14. Generalized Cartan matrices and Kac-Moody algebras; 15. The classification of generalised Cartan matrices; 16 The invariant form, root system and Weyl group; 17. Kac-Moody algebras of affine type; 18. Realisations of affine Kac-Moody algebras; 19. Some representations of symmetrisable Kac-Moody algebras; 20. Representations of affine Kac-Moody algebras; 21. Borcherds Lie algebras; Appendix.

Publish Book: 
Modify Date: 
Monday, October 6, 2008

Dummy View - NOT TO BE DELETED