Affine Hecke Algebras And Orthogonal Polynomials

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Affine Hecke Algebras and Orthogonal Polynomials
Language: en
Pages: 200
Authors: I. G. Macdonald
Categories: Mathematics
Type: BOOK - Published: 2003-03-20 - Publisher: Cambridge University Press

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First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.
Affine Hecke Algebras and Orthogonal Polynomials
Language: en
Pages: 186
Authors: I. G. Macdonald
Categories: Mathematics
Type: BOOK - Published: 2003-03-20 - Publisher: Cambridge University Press

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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 develo
Double Affine Hecke Algebras
Language: en
Pages: 452
Authors: Ivan Cherednik
Categories: Mathematics
Type: BOOK - Published: 2005-03-24 - Publisher: Cambridge University Press

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This is an essentially self-contained monograph in an intriguing field of fundamental importance for Representation Theory, Harmonic Analysis, Mathematical Phys
Symmetric Functions and Orthogonal Polynomials
Language: en
Pages: 71
Authors: Ian Grant Macdonald
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials, has long been known to be connected to combinatorics,
Double Affine Hecke Algebras and Noncommutative Geometry
Language: en
Pages: 96
Authors: Alexei Oblomkov
Categories:
Type: BOOK - Published: 2005 - Publisher:

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In the first part we study Double Affine Hecke algebra of type An-1 which is important tool in the theory of orthogonal polynomials. We prove that the spherical