Dirac series of $E_{8(-24)}$
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866910876223668224 |
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| author | Ding, Yi-Hao Dong, Chao-Ping Du, Chengyu Luan, Yong-Zhi Yang, Liang |
| author_facet | Ding, Yi-Hao Dong, Chao-Ping Du, Chengyu Luan, Yong-Zhi Yang, Liang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00286 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dirac series of $E_{8(-24)}$ Ding, Yi-Hao Dong, Chao-Ping Du, Chengyu Luan, Yong-Zhi Yang, Liang Representation Theory 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. |
| title | Dirac series of $E_{8(-24)}$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2402.00286 |