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

Erscheinungsjahr 2005
ISBN: 978-0-19-853068-8
Verlag: OUP Oxford

Buch, Englisch, 150 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 399 g

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.

Autoren/Hrsg.

Etingof, Pavel

Latour, Frederic

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

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