Dynamical Yang Baxter Equation, Representation Theory, and Quantum - Integrable System

Zusatztext 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. Klappentext 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 semi-simple Lie algebras. Zusammenfassung 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. This book contains proofs and explicit calculations, and is useful for graduate students of mathematics. Inhaltsverzeichnis 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 sul prodotto

• Autori: P I Etingof, P. I. Etingof, Pavel Etingof, Pavel (Department of Mathematics Etingof, Pavol Etingof, Pavol Latour Etingof, Etingof Pavel, Frederic Latour, Latour Frederic
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 01.10.2004
• EAN: 9780198530688
• ISBN: 978-0-19-853068-8
• Pagine: 152
• Serie: Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Series in Mathe; Oxford Lecture Mathematics and
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms