The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems: 29 - Rilegato

Etingof, Pavel; Latour, Frederic

Rilegato

ISBN 10: 0198530684 ISBN 13: 9780198530688

Casa editrice: OUP Oxford, 2004

Riassunto

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.

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Recensione

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)

Contenuti

• 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

Dettagli dell?edizione

• Editore: OUP Oxford
• Data di pubblicazione: 2004
• ISBN 10: 0198530684
• ISBN 13: 9780198530688
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 152