Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series
Quantum Algebra
2007-05-23 v5 Representation Theory
Abstract
We show how a certain limit of the nonsymmetric Macdonald polynomials appears in the representation theory of semisimple groups over p--adic fields as matrix coefficients for the unramified principal series representations. The result is the nonsymmetric counterpart of a classical result relating the same limit of the symmetric Macdonald polynomials to zonal spherical functions on groups of p--adic type.
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Cite
@article{arxiv.math/0407044,
title = {Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series},
author = {Bogdan Ion},
journal= {arXiv preprint arXiv:math/0407044},
year = {2007}
}
Comments
25pg