Formal degrees of unipotent discrete series representations and the exotic Fourier transform
Representation Theory
2015-06-12 v2
Abstract
We introduce a notion of elliptic fake degrees for unipotent elliptic representations of a semisimple p-adic group. We conjecture, and verify in some cases, that the relation between the formal degrees of unipotent discrete series representations of a semisimple p-adic group and the elliptic fake degrees is given by the exotic Fourier transform matrix introduced by Lusztig in the study of representations of finite groups of Lie type.
Keywords
Cite
@article{arxiv.1310.3546,
title = {Formal degrees of unipotent discrete series representations and the exotic Fourier transform},
author = {Dan Ciubotaru and Eric M. Opdam},
journal= {arXiv preprint arXiv:1310.3546},
year = {2015}
}
Comments
32 pages; v2: added references, minor corrections