Foundations of Quantum Group Theory
$123.00 (P)
- Author: Shahn Majid, Queen Mary University of London
- Date Published: April 2000
- availability: Available
- format: Paperback
- isbn: 9780521648684
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This is a graduate-level text that systematically develops the foundations of the subject. Quantum groups (i.e. Hopf algebras) are treated as mathematical objects in their own right; basic properties and theorems are proven in detail from this standpoint, including the results underlying key applications. After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics. The explicit proofs and a great many worked examples and exercises will allow readers to quickly pick up the techniques needed for working in this exciting new field.
Read more- Comprehensive introduction to an exciting new area
- Accessible to both physicists and mathematicians
- Internationally respected author who is known well on both sides of the physics/mathematics divide
Reviews & endorsements
"...this is a remarkable book, written in a rigorous style (all necessary statements are proved explicitly) by an acknowledged leader in the field." Dmitrii I. Gurevich, Mathematical Reviews
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×Product details
- Date Published: April 2000
- format: Paperback
- isbn: 9780521648684
- length: 664 pages
- dimensions: 247 x 174 x 41 mm
- weight: 1.285kg
- contains: 38 b/w illus.
- availability: Available
Table of Contents
Introduction
1. Definition of Hopf algebras
2. Quasitriangular Hopf algebras
3. Quantum enveloping algebras
4. Matrix quantum groups
5. Quantum random walks and combinatorics
6. Bicrossproduct Hopf algebras
7. Quantum double and double cross products
8. Lie bialgebras and Poisson brackets
9. Representation theory
10. Braided groups and q-deformation
References
Symbols
Indexes.
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