Affine Lie Algebras and Quantum Groups

An Introduction, with Applications in Conformal Field Theory
Erscheinungsjahr 1995
ISBN: 978-0-521-48412-1
Verlag: Cambridge University Press

Buch, Englisch, 447 Seiten, Format (B × H): 191 mm x 235 mm, Gewicht: 831 g

Reihe: Cambridge Monographs on Mathematical Physics

This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory. The description of affine algebras covers the classification problem, the connection with loop algebras, and representation theory including modular properties. The necessary background from the theory of semisimple Lie algebras is also provided. The discussion of quantum groups concentrates on deformed enveloping algebras and their representation theory, but other aspects such as R-matrices and matrix quantum groups are also dealt with. This book will be of interest to researchers and graduate students in theoretical physics and applied mathematics.

Autoren/Hrsg.

Fuchs, Jurgen

Fuchs, Jürgen A.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik

Inhaltsverzeichnis

1. Semisimple Lie algebras; 2. Affine Lie algebras; 3. WZW theories; 4. Quantum groups; 5. Duality, fusion rules, and modular invariance; Bibliography; Index.