Dirac series of $E_{7(-5)}$
Representation Theory
2022-09-23 v2
Abstract
Using the sharpened Helgason-Johnson bound, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology of . As an application, we find that the cancellation between the even part and the odd part of the Dirac cohomology continues to happen for certain unitary representations of . Assuming the infinitesimal character being integral, we further improve the Helgason-Johnson bound for . This should help people to understand (part of) the unitary dual of this group.
Cite
@article{arxiv.2205.11999,
title = {Dirac series of $E_{7(-5)}$},
author = {Yi-Hao Ding and Chao-Ping Dong and Ping-Yuan Li},
journal= {arXiv preprint arXiv:2205.11999},
year = {2022}
}
Comments
25 pages. arXiv admin note: text overlap with arXiv:2204.07902