Tensor products and Minkowski sums of Mirkovic-Vilonen polytopes
Quantum Algebra
2010-10-06 v1 Representation Theory
Abstract
The purpose of this paper is to prove that the Mirkovic-Vilonen (MV for short) polytope corresponding to the tensor product of two arbitrary MV polytopes is contained in the Minkowski sum of these two MV polytopes. This generalizes the result in our previous paper [KNS], which was obtained under the assumption that the first tensor factor is an extremal MV polytope.
Keywords
Cite
@article{arxiv.1010.0777,
title = {Tensor products and Minkowski sums of Mirkovic-Vilonen polytopes},
author = {Syu Kato and Satoshi Naito and Daisuke Sagaki},
journal= {arXiv preprint arXiv:1010.0777},
year = {2010}
}
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20 pages