Vol. 194, No. 1, 2000

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Isomorphisms of type A affine Hecke algebras and multivariable orthogonal polynomials

T.H. Baker and P.J. Forrester

Vol. 194 (2000), No. 1, 19–41
Abstract

We examine two isomorphisms between affine Hecke algebras of type A associated with parameters q1, t1 and q, t. One of them maps the non-symmetric Macdonald polynomials Eη(x;q1,t1) onto Eη(x;q,t), while the other maps them onto non-symmetric analogues of the multivariable Al-Salam & Carlitz polynomials. Using the properties of Eη(x;q1 ,t1), the corresponding properties of these latter polynomials can then be elucidated.

Milestones
Received: 9 December 1997
Revised: 25 June 1999
Published: 1 May 2000
Authors
T.H. Baker
Kyoto University
Kyoto 606-8502
Japan
P.J. Forrester
University of Melbourne
Parkville 3052
Australia