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arXiv · 2402.00286

Dirac series of $E_{8(-24)}$

Yi-Hao Ding·Chao-Ping Dong·Chengyu Du·Yong-Zhi Luan·Liang Yang
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Abstract

This paper classifies the Dirac series of $E_{8(-24)}$, the linear quaternionic real form of complex $E_8$. 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.

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Yi-Hao Ding, Chao-Ping Dong, Chengyu Du, Yong-Zhi Luan, Liang Yang. 2024-02-01. Dirac series of $E_{8(-24)}$. https://doi.org/10.1093/imrn%2Frnaf058

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