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Affine Hecke Algebras and Orthogonal Polynomials

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Affine Hecke Algebras and Orthogonal Polynomials

Affine Hecke Algebras and Orthogonal Polynomials

I. G. Macdonald, Queen Mary University of London
April 2003
Available
Hardback
9780521824729
$163.00
USD
Hardback
USD
eBook
    Description

    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.

    • First comprehensive and organised account of the subject; much of the material has never appeared in book form before
    • Author is one of the leading authorities worldwide on this topic, and indeed is its creator
    • Despite the modernity of the subject, the account is self-contained and accessible for graduate students in algebra

    Reviews & endorsements

    '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

    See more reviews

    Product details

    April 2003
    Hardback
    9780521824729
    186 pages
    231 × 155 × 15 mm
    0.41kg
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    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.
      • Show more

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    About the authors
      Author
    • I. G. Macdonald , Queen Mary University of London

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