Quantum Groups
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Author
Publication
1995 - Springer New York, New York, NY, United States
Language
English
Word Count
133,500 words, Guess
Page Count
534 pages
Physical Format
[electronic resource] /
Identifiers
- Open LibraryOL27084079M
- ISBN-139781461269007
- ISBN-101461269008
- OCLC Control Number853263621
- OCLC Control Numberquantumgroups00kass_877
Classifications
- DDC512.66
- LCCQA612.33
Description
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.
Subjects
Series Statement
- Graduate Texts in Mathematics -- 155
Other Editions
- Quantum Groups
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