Affine Hecke Algebras and Orthogonal Polynomials

ISBN-13: 9780521824729 / Angielski / Twarda / 2003 / 186 str.

I. G. MacDonald; B. Bollobas; W. Fulton

Opis

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.

Recenzje

'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

Spis treści

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.