The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems by Pavel Etingof

The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems

byPavel Etingof, Frederic Latour

Hardcover | April 7, 2005

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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 andexplicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.

About The Author

Pavol Etingof and Frederic Latour are both in the Department of Mathematics, Massachussetts Institute of Technology.

Details & Specs

Title:The dynamical Yang-Baxter equation, representation theory, and quantum integrable systemsFormat:HardcoverDimensions:150 pages, 9.21 × 6.14 × 0.51 inPublished:April 7, 2005Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198530684

ISBN - 13:9780198530688

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Table of Contents

0. Preface1. Introduction2. Background material3. Intertwiners, fusion and exchange operators for Lie algebras4. Quantum groups5. Intertwiners, fusion and exchange operators for iU/i_q (ig/i)6. Dynamical R-matrices and integrable systems7. Traces of intertwiners for iU/i_q (ig/i)8. Traces of intertwiners and Macdonald polynomials9. Dynamical Weyl group