Tensor products and Minkowski sums of Mirković–Vilonen polytopes

Abstract

The purpose of this paper is to prove that the Mirković-Vilonen (MV) polytope corresponding to the tensor product of two arbitrary MV polytopes is contained, as a set, in the Minkowski sum of these two MV polytopes. This result generalizes the one in our previous paper, which was obtained under the assumption that the first tensor factor is an extremal MV polytope.