Minkowski embedding of a number field
= Minkowski embedding of a number field
{c}
{wiki=Canonical_embedding}
For a number field of signature $(r_1,r_2)$, the Minkowski embedding sends an element to its values under the $r_1$ real embeddings and one representative from each of the $r_2$ complex-conjugate pairs. The image of the ring of integers is a full lattice in $\mathbb R^{r_1}\times\mathbb C^{r_2}$.