[内容简介]
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.
Readership: Graduate students and researchers in related representation theory, theory of special functions, algebra, integrable systems, and quantum field theory.
Contents:
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