Datensatz

Zusammenfassung

We classify the types of root systems $R$ in the rings of integers of number
fields $K$ such that the Weyl group $W(R)$ lies in the group $\mathcal L(K)$
generated by ${\rm Aut} (K)$ and multiplications by the elements of $K^*$. We
also classify the Weyl groups of roots systems of rank $n$ which are isomorphic
to a subgroup of $\mathcal L(K)$ for a number field $K$ of degree $n$ over
$\mathbb Q$.