Informazioni su questo prodotto

Product Identifiers

PublisherCambridge University Press

ISBN-100521558840

ISBN-139780521558846

eBay Product ID (ePID)730179

Product Key Features

Number of Pages668 Pages

Publication NameGuide to Quantum Groups

LanguageEnglish

Publication Year1995

SubjectGroup Theory, Physics / Quantum Theory, Algebra / General

TypeTextbook

Subject AreaMathematics, Science

AuthorAndrew N. Pressley, Vyjayanthi Chari

FormatTrade Paperback

Dimensions

Item Height1.7 in

Item Weight37.7 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional

TitleLeadingA

Dewey Edition20

IllustratedYes

Dewey Decimal512.5/5

Table Of ContentIntroduction; 1. Poisson-Lie groups and Lie bialgebras; 2. Coboundary Poisson-Lie groups and the classical Yang-Baxter equation; 3. Solutions of the classical Yang-Baxter equation; 4. Quasitriangular Hopf algebras; 5. Representations and quasitensor categories; 6. Quantization of Lie bialgebras; 7. Quantized function algebras; 8. Structure of QUE algebras: the universal R-matrix; 9. Specializations of QUE algebras; 10. Representations of QUE algebras: the generic case; 11. Representations of QUE algebras: the root of unity case; 12. Infinite-dimensional quantum groups; 13. Quantum harmonic analysis; 14. Canonical bases; 15. Quantum group invariants of knots and 3-manifolds; 16. Quasi-Hopf algebras and the Knizhnik-Zamolodchikov equation; Appendix. The Kac-Moody algebras.

SynopsisThis book gives a comprehensive view of quantum groups and their applications. All who have an interest in the subject will welcome this unique treatment of quantum groups., Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. This book gives a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Researchers in mathematics and theoretical physics will enjoy this book., Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. The theory of quantum groups is now well established as a fascinating chapter of representation theory, and has thrown new light on many different topics, notably low-dimensional topology and conformal field theory. The goal of this book is to give a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Thus this book can serve both as an introduction for the newcomer, and as a guide for the more experienced reader. All who have an interest in the subject will welcome this unique treatment of quantum groups.