Special unipotent representations of simple linear Lie groups of type A
Representation Theory
2023-11-01 v2
Abstract
Let G be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special unipotent representations of G in the sense of Arthur and Barbasch-Vogan, and show in particular that all of them are unitarizable.
Keywords
Cite
@article{arxiv.2304.04495,
title = {Special unipotent representations of simple linear Lie groups of type A},
author = {Dan Barbasch and Jia-Jun Ma and Binyong Sun and Chen-Bo Zhu},
journal= {arXiv preprint arXiv:2304.04495},
year = {2023}
}
Comments
To appear in Acta Mathematica Sinica, English Series