OXFORD UNIVERSITY PRESS

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

ISBN : 9780198530688

Price(incl.tax): 
¥13,695
Author: 
Pavol Etingof; Frederic Latour
Pages
152 Pages
Format
Hardcover
Size
161 x 241 mm
Pub date
Mar 2005
Series
Oxford Lecture Series in Mathematics and Its Applications
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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.

Index: 

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

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