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

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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Hauptverfasser: Ding, Yi-Hao, Dong, Chao-Ping, Du, Chengyu, Luan, Yong-Zhi, Yang, Liang
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2402.00286