Victor G. Kac

Infinite-Dimensional Lie Algebras

• Broschiertes Buch

Produktbeschreibung

This is the third, substantially revised edition of this important monograph and graduate text. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems. The theory has applications in many areas of mathematics and mathematical physics and these are discussed in relation to the basic theory where appropriate.

Produktdetails

• Verlag: Cambridge University Press
• 3 Revised edition
• Seitenzahl: 424
• Erscheinungstermin: 13. Januar 2002
• Englisch
• Abmessung: 229mm x 152mm x 25mm
• Gewicht: 638g
• ISBN-13: 9780521466936
• ISBN-10: 0521466938
• Artikelnr.: 21122392

Inhaltsangabe

Introduction
Notational conventions
1. Basic definitions
2. The invariant bilinear form and the generalized casimir operator
3. Integrable representations of Kac-Moody algebras and the weyl group
4. A classification of generalized cartan matrices
5. Real and imaginary roots
6. Affine algebras: the normalized cartan invariant form, the root system, and the weyl group
7. Affine algebras as central extensions of loop algebras
8. Twisted affine algebras and finite order automorphisms
9. Highest-weight modules over Kac-Moody algebras
10. Integrable highest-weight modules: the character formula
11. Integrable highest-weight modules: the weight system and the unitarizability
12. Integrable highest-weight modules over affine algebras
13. Affine algebras, theta functions, and modular forms
14. The principal and homogeneous vertex operator constructions of the basic representation
Index of notations and definitions
References
Conference proceedings and collections of paper.