Affine Hecke Algebras and Orthogonal Polynomials
Part of Cambridge Tracts in Mathematics
- Author: I. G. Macdonald, Queen Mary University of London
- Date Published: April 2003
- availability: Available
- format: Hardback
- isbn: 9780521824729
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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.
Read more- 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
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×Product details
- Date Published: April 2003
- format: Hardback
- isbn: 9780521824729
- length: 186 pages
- dimensions: 231 x 155 x 15 mm
- weight: 0.41kg
- availability: Available
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.
Related Books
related journals
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