Lie Algebras: Finite and Infinite Demensional Lie Algebras

Description

The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras.

The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein.

Enjoy this great book! Brought to you by SMIRK



RS Link:

http://rapidshare.com/files/186924902/0444828362.zip

Thanks for this post!
I guess Part 1 is not available... If it is at some point, I would be very interested!!

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1. Ebooks list page : 2221
2. Elements of the Representation Theory of Associative Algebras,Vol. 3: Representation-infinite Tilted Algebras
3. Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
4. Infinite-Dimensional Lie Algebras
5. Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras
6. Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras
7. Infinite Dimensional Algebras and Quantum Integrable Systems
8. Classification of Nuclear C*-Algebras. Entropy in Operator Algebras (Encyclopaedia of Mathematical Sciences)
9. C*-algebras and W*-algebras (Ergebnisse der Mathematik und ihrer Grenzgebiete Band 60): Shoichiro Sakai
10. Elements of the Representation Theory of Associative Algebras, Vol. 2: Tubes and Concealed Algebras of Euclidean type
11. Operator Algebras and Quantum Statistical Mechanics 1: C*- and W*-Algebras. (Repost)
12. The W3 Algebra: Modules, Semi-Infinite Cohomology and Bv Algebras (repost)
13. Infinite-Dimensional Lie Algebras (Translations of Mathematical Monographs 195): Minoru Wakimoto
14. Lie Algebras of Finite and Affine Type
15. Lie Algebras of Finite and Affine Type
16. The W3 Algebra: Modules, Semi-Infinite Cohomology and Bv Algebras (Lecture Notes in Physics New Series M)