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Quantum Groups

Language EnglishEnglish
Book Hardback
Book Quantum Groups Christian Kassel
Libristo code: 05247965
Publishers Springer-Verlag New York Inc., November 1994
This book provides an introduction to the theory of quantum groups with emphasis on the spectacular... Full description
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This book provides an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and on Drinfeld's recent fundamental contributions. The first part presents in detail the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Part Two focuses on Hopf algebras that produce solutions of the Yang-Baxter equation, and on Drinfeld's quantum double construction. In the following part we construct isotopy invariants of knots and links in the three-dimensional Euclidean space, using the language of tensor categories. The last part is an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations, culminating in the construction of Kontsevich's universal knot invariant.

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About the book

Full name Quantum Groups
Author Christian Kassel
Language English
Binding Book - Hardback
Date of issue 1994
Number of pages 534
EAN 9780387943701
ISBN 0387943706
Libristo code 05247965
Publishers Springer-Verlag New York Inc.
Weight 976
Dimensions 242 x 165 x 39

Categories

Mathematics & Science > Mathematics > Topology > Algebraic topology
Mathematics & Science > Mathematics > Groups & group theory
Mathematics & Science > Physics > Quantum physics (quantum mechanics & quantum field theory)
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