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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1906.08846 |
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| _version_ | 1866916203476287488 |
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| author | Bray, John N. Stepanov, Yegor Wilson, Robert A. |
| author_facet | Bray, John N. Stepanov, Yegor Wilson, Robert A. |
| contents | We present a uniform approach to the construction of the groups of type $\mathrm{E}_6$ over arbitrary fields without using Lie theory. This gives a simple description of the group generators and some of the subgroup structure. In the finite case our approach also permits relatively straightforward computation of the group order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_08846 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Octonions, Albert vectors and the group $\mathrm{E}_6(F)$ Bray, John N. Stepanov, Yegor Wilson, Robert A. Group Theory Representation Theory 20H20 We present a uniform approach to the construction of the groups of type $\mathrm{E}_6$ over arbitrary fields without using Lie theory. This gives a simple description of the group generators and some of the subgroup structure. In the finite case our approach also permits relatively straightforward computation of the group order. |
| title | Octonions, Albert vectors and the group $\mathrm{E}_6(F)$ |
| topic | Group Theory Representation Theory 20H20 |
| url | https://arxiv.org/abs/1906.08846 |