Multivariable Wilson polynomials and degenerate Hecke algebras
Representation Theory
2011-05-24 v1 Classical Analysis and ODEs
Abstract
We study a rational version of the double affine Hecke algebra associated to the nonreduced affine root system of type . A certain representation in terms of difference-reflection operators naturally leads to the definition of nonsymmetric versions of the multivariable Wilson polynomials. Using the degenerate Hecke algebra we derive several properties, such as orthogonality relations and quadratic norms, for the nonsymmetric and symmetric multivariable Wilson polynomials.
Cite
@article{arxiv.0710.3078,
title = {Multivariable Wilson polynomials and degenerate Hecke algebras},
author = {Wolter Groenevelt},
journal= {arXiv preprint arXiv:0710.3078},
year = {2011}
}
Comments
30 pages