The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems
Author:   Pavel Etingof (, Department of Mathematics, Massachussetts Institute of Technology) ,  Frederic Latour (, Department of Mathematics, Massachussetts Institute of Technology)
Publisher:   Oxford University Press
Volume:   29
ISBN:  

9780198530688


Pages:   152
Publication Date:   24 March 2005
Format:   Hardback
Availability:   To order   Availability explained
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The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems


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Overview

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.

Full Product Details

Author:   Pavel Etingof (, Department of Mathematics, Massachussetts Institute of Technology) ,  Frederic Latour (, Department of Mathematics, Massachussetts Institute of Technology)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   29
Dimensions:   Width: 16.10cm , Height: 1.30cm , Length: 24.10cm
Weight:   0.365kg
ISBN:  

9780198530688


ISBN 10:   0198530684
Pages:   152
Publication Date:   24 March 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

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

Reviews

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


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


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