Isomorphisms of type $A$ affine Hecke algebras and multivariable orthogonal polynomials

T. H. Baker, P. J. Forrester

We examine two isomorphisms between affine Hecke algebras of type $A$ associated with parameters $q^{-1}$, $t^{-1}$ and $q$, $t$. One of them maps the non-symmetric Macdonald polyn…