RGD-systems over $\mathbb{F}_2$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917730130591744 |
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| author | Bischof, Sebastian |
| author_facet | Bischof, Sebastian |
| contents | In this paper we prove that an RGD-system over $\mathbb{F}_2$ with prescribed commutation relations exists if and only if the commutation relations are Weyl-invariant and can be realized in the group $U_+$. This result gives us a machinery to produce new examples of RGD-systems with complicated commutation relations. We also discuss some applications of this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15503 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | RGD-systems over $\mathbb{F}_2$ Bischof, Sebastian Group Theory 20E42, 51E24, 20E08, 20E36, 20F12 In this paper we prove that an RGD-system over $\mathbb{F}_2$ with prescribed commutation relations exists if and only if the commutation relations are Weyl-invariant and can be realized in the group $U_+$. This result gives us a machinery to produce new examples of RGD-systems with complicated commutation relations. We also discuss some applications of this result. |
| title | RGD-systems over $\mathbb{F}_2$ |
| topic | Group Theory 20E42, 51E24, 20E08, 20E36, 20F12 |
| url | https://arxiv.org/abs/2407.15503 |