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arXiv · 2407.15503

RGD-systems over $\mathbb{F}_2$

Sebastian Bischof
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Abstract

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.

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Sebastian Bischof. 2024-07-22. RGD-systems over $\mathbb{F}_2$. https://arxiv.org/abs/2407.15503

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