Gelfand Pairs of Complex Reflection Groups
Representation Theory
2020-12-01 v3
Abstract
In this article the zonal spherical functions of the Gelfand pair of complex reflection groups will be calculated. After this, a product formula for these spherical functions and a discrete analog of the Laplace operator which has the spherical functions as eigenfunctions will be given.
Keywords
Cite
@article{arxiv.2007.06265,
title = {Gelfand Pairs of Complex Reflection Groups},
author = {Robin van Haastrecht},
journal= {arXiv preprint arXiv:2007.06265},
year = {2020}
}
Comments
18 pages, 0 figures. Some stylistic changes have been made and the introduction now better reflects the article. Definition 3.2 and 3.3 have been fused. Minor spelling mistakes have been fixed