In mathematics, specifically the field of algebraic number theory, a Minkowski space is a Euclidean space associated with an algebraic number field.
If "K" is a number field of degree "d" then there are "d" distinct embeddings of "K" into C. We let "K"C be the image of "K" in the product C"d", considered as equipped with the usual Hermitian inner product. If "c" denotes complex conjugation, let "K"R denote the subspace of "K"C fixed by "c", equipped with a scalar product. This is the Minkowski space of "K".
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