Tensor products and Minkowski sums of Mirković–Vilonen polytopes
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.
AMS classificationPrimary, 17B37, 20G05 Secondary, 17B10, 14M15, 05E15
Key words and phrasesCrystal basis tensor product Mirković–Vilonen cycle Mirković–Vilonen polytope Minkowski sum
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