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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:   Print book : EnglishView all editions and formats
Summary:
Publisher Description (unedited publisher data) In recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters. These polynomials include as special cases: symmetric functions; zonal spherical functions on real and p-adic reductive Lie groups; the Jacobi polynomials of Heckman and Opdam; and the  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: I G Macdonald
ISBN: 0521824729 9780521824729
OCLC Number: 50280155
Description: ix, 175 pages ; 24 cm.
Contents: Introduction --
Affine root systems --
The extended affine Weyl group --
The braid group --
The affine Hecke algebra --
Orthogonal polynomials --
The rank 1 case --
Bibliography --
Index.
Series Title: Cambridge tracts in mathematics, 157.
Responsibility: I.G. Macdoald.
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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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