RGD-systems over $\mathbb{F}_{2}$
Sebastian Bischof · Journal of Combinatorial Algebra · 2025
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.