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Affine Hecke algebras and orthogonal polynomials

Author: I G Macdonald
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2003.
Series: Cambridge tracts in mathematics, 157.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
There has recently developed a satisfactory and coherent theory, created by the author, of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters. This Tract, the first comprehensive and organised account of the subject, provides a unified foundation for this theory.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Macdonald, I.G. (Ian Grant).
Affine Hecke algebras and orthogonal polynomials.
Cambridge, UK ; New York : Cambridge University Press, 2003
(DLC) 2002031075
(OCoLC)50280155
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: I G Macdonald
ISBN: 0511062354 9780511062353 0521824729 9780521824729 0511070810 9780511070815
OCLC Number: 57254213
Description: 1 online resource (ix, 175 pages).
Contents: Cover; Half-title; Title; Copyright; 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 of notation; Index.
Series Title: Cambridge tracts in mathematics, 157.
Responsibility: I.G. Macdoald.

Abstract:

First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.  Read more...

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'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 Read more...

 
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