, Volume 17, Issue 1, pp 195-207
Date: 01 Jul 2011

Tensor products and Minkowski sums of Mirković–Vilonen polytopes

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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.

Supported in part by JSPS Research Fellowships for Young Scientists (No. 20740011). (Syu Kato)
Supported in part by Grant-in-Aid for Scientific Research (No. 20540006), JSPS. (Satoshi Naito)
Supported in part byJSPS Research Fellowships forYoung Scientists (No. 19740004). (Daisuke Sagaki)