On the elliptic nonabelian Fourier transform for unipotent representations of p-adic groups
Representation Theory
2017-07-24 v3
Abstract
In this paper, we consider the relation between two nonabelian Fourier transforms. The first one is defined in terms of the Langlands-Kazhdan-Lusztig parameters for unipotent elliptic representations of a split p-adic group and the second is defined in terms of the pseudocoefficients of these representations and Lusztig's nonabelian Fourier transform for characters of finite groups of Lie type. We exemplify this relation in the case of the p-adic group of type G_2.
Keywords
Cite
@article{arxiv.1604.00604,
title = {On the elliptic nonabelian Fourier transform for unipotent representations of p-adic groups},
author = {Dan Ciubotaru and Eric Opdam},
journal= {arXiv preprint arXiv:1604.00604},
year = {2017}
}
Comments
17 pages; v2: several minor corrections, references added; v3: corrections in the table with unipotent discrete series of G2