The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems
Published on 24. March 2005
Book
Hardback
152 pages
978-0-19-853068-8 (ISBN)
Description
The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.
Reviews / Votes
The book offers a readable introduction to a very interesting, interdisciplinary field. * EMS Newsletter * The book, which comprises nine chapters, is very well written, starting almost from scratch and containing detailed proofs of all statements as weel as motivating discussions. It is ideal for a graduate course on quantum grounps and special functions. * Mathematical Reviews * This monograph provides an excellent introduction to the theory of the quantum dynamical Yang-Baxter equation from th point of view of (quantum) integrable systems and special function theory. * Mathematical Reviews *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 13 mm
Weight
399 gr
ISBN-13
978-0-19-853068-8 (9780198530688)
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Schweitzer Classification
Persons
Content
0. Preface ; 1. Introduction ; 2. Background material ; 3. Intertwiners, fusion and exchange operators for Lie algebras ; 4. Quantum groups ; 5. Intertwiners, fusion and exchange operators for U_q (g) ; 6. Dynamical R-matrices and integrable systems ; 7. Traces of intertwiners for U_q (g) ; 8. Traces of intertwiners and Macdonald polynomials ; 9. Dynamical Weyl group