Genuine special unipotent representations of spin groups
Representation Theory
2023-08-31 v3
Abstract
We determine all genuine special unipotent representations of real spin groups and quaternionic spin groups, and show in particular that all of them are unitarizable. We also show that there are no genuine special unipotent representations of complex spin groups.
Cite
@article{arxiv.2303.03571,
title = {Genuine special unipotent representations of spin groups},
author = {Dan Barbasch and Jia-Jun Ma and Binyong Sun and Chen-Bo Zhu},
journal= {arXiv preprint arXiv:2303.03571},
year = {2023}
}
Comments
To appear in Progr. Math., Festschrift in honor of Toshiyuki Kobayashi