Dirac series of $E_{8(-24)}$
Representation Theory
2025-03-18 v1
Abstract
This paper classifies the Dirac series of , the linear quaternionic real form of complex . One tool for us is a further sharpening of the Helgason-Johnson bound in 1969. Our calculation continues to support Vogan's fundamental parallelepiped conjecture.
Cite
@article{arxiv.2402.00286,
title = {Dirac series of $E_{8(-24)}$},
author = {Yi-Hao Ding and Chao-Ping Dong and Chengyu Du and Yong-Zhi Luan and Liang Yang},
journal= {arXiv preprint arXiv:2402.00286},
year = {2025}
}
Comments
32 pages