Affine Hecke Algebras and Orthogonal Polynomials

by I. G. Macdonald

Overview

A satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters, has developed in recent years. This comprehensive account of the subject provides a unified foundation for the theory to which I.G. Macdonald has been a principal contributor. The first four chapters lead up to Chapter 5 which contains all the main results.

Product Details

ISBN-13:	9780521824729
Publisher:	Cambridge University Press
Publication date:	03/20/2003
Series:	Cambridge Tracts in Mathematics , #157
Edition description:	New Edition
Pages:	186
Product dimensions:	6.10(w) x 9.09(h) x 0.59(d)

Table of Contents

Introduction; 1. Affine root systems; 2. The extended affine Weyl group; 3. The braid group; 4. The affine Hecke algebra; 5. Orthogonal polynomials; 6. The rank 1 case; Bibliography; Index.

Editorial Reviews

'This is a beautiful book, treating in a concise and clear way the recent developments concerning the connection between orthogonal polynomials in several variables and root systems in two or more parameters.' Zentralblatt für Mathematik

From the Publisher