Mirkovic-Vilonen多面体的张量积与Minkowski和
Tensor products and Minkowski sums of Mirkovic-Vilonen polytopes
摘要:
证明了任意两个MV多面体的张量积所对应的Mirkovic-Vilonen(简称MV)多面体包含在这两个MV多面体的Minkowski和中.这推广了我们以前的论文[KNS]中的结果,该结果是在假设第一张量因子是极值MV多胞形的情况下获得的。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。