%0 Journal Article
%T Formal degrees of unipotent discrete series representations and the exotic Fourier transform
%A Dan Ciubotaru
%A Eric M. Opdam
%J Mathematics
%D 2013
%I arXiv
%R 10.1112/plms/pdu060
%X 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.
%U http://arxiv.org/abs/1310.3546v2