Dirac series for complex $E_7$
Representation Theory
2022-04-04 v2
Abstract
This paper classifies the Dirac series for complex . As applications, we verify a few conjectures raised in 2011, 2019 and 2020 for this exceptional Lie group. In particular, according to Conjecture 1.1 of Barbasch and Pandzic [BP], our classification should be helpful for understanding the unitary dual of complex .
Cite
@article{arxiv.2110.00694,
title = {Dirac series for complex $E_7$},
author = {Chao-Ping Dong and Kayue Daniel Wong},
journal= {arXiv preprint arXiv:2110.00694},
year = {2022}
}
Comments
21 pages, accepted for publication in Forum Mathematicum