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Quantum groups / Christian Kassel

Auteur principal : Kassel, Christian, 1951-, AuteurType de document : MonographieCollection : Graduate texts in mathematics, 155Langue : anglais.Pays : Etats Unis.Éditeur : New York : Springer, 1995Description : 1 vol. (XII-531 p.) : ill. ; 24 cmISBN : 0387943706.ISSN : 0072-5285.Bibliographie : Bibliogr. p. 506-521. Index.Sujet MSC : 17B37, Lie algebras and Lie superalgebras, Quantum groups (quantized enveloping algebras) and related deformations
16Txx, Associative rings and algebras - Hopf algebras, quantum groups and related topics
57K10, Low-dimensional topology in specific dimensions, Knot theory
81R50, Groups and algebras in quantum theory, Quantum groups and related algebraic methods
18M05, Monoidal categories and operads, Monoidal categories, symmetric monoidal categories
En-ligne : Springerlink | Zentralblatt | MathSciNet
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17 KAS (Browse shelf) Available 11284-01

The book provides an introduction to the algebra behind the words "quantum groups'' with emphasis on the fascinating and spectacular connections with low-dimensional topology and on Drinfelʹd's fundamental contribution. Despite the complexity of the subject the author makes the exposition accessible to a large audience. The book does not seek to address the problem of mentioning all the various aspects of quantum group theory. But, starting with elementary considerations, the author leads the reader to selected advanced results, providing detailed proofs of all necessary facts. A great many exercises are proposed to the diligent reader. Bibliographical and historical notes are not extensive but are very convenient for the beginner. (MathSciNet)

Bibliogr. p. 506-521. Index

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