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The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems


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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


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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