Affine lie algebras and quantum groups : introduction, with applications in conformal field theory

By: Jurgen FuchsMaterial type: TextTextSeries: Cambridge Monographs on Mathematical PhysicsPublication details: Cambridge, U.K.: Cambridge University Press, [c1992]Description: 433 pISBN: 9780521484121Subject(s): MathematicsLOC classification: QA252.3
Contents:
1. Semisimple Lie algebras 2. Affine Lie algebras 3. WZW theories 4. Quantum groups 5. Duality, fusion rules, and modular
Summary: 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. --- summary provided by publisher
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Mathematic Rack No 5 QA252.3 (Browse shelf (Opens below)) Available Billno:95076; Billdate: 2016-08-04 00292
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1. Semisimple Lie algebras
2. Affine Lie algebras
3. WZW theories
4. Quantum groups
5. Duality, fusion rules, and modular

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. --- summary provided by publisher

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