论文标题
Grothendieck多项式的orthodontia公式
An orthodontia formula for Grothendieck polynomials
论文作者
论文摘要
我们为Grothendieck多项式提供了一个新的操作员公式,该公式将Magyar的NaSazure操作员公式推广用于Schubert多项式。我们的证明是纯粹的组合,与Magyar使用的几何和表示理论工具形成鲜明对比。我们采用公式来证明单一词在给定的Grothendieck多项式中出现的必要分裂条件。
We give a new operator formula for Grothendieck polynomials that generalizes Magyar's Demazure operator formula for Schubert polynomials. Our proofs are purely combinatorial, contrasting with the geometric and representation theoretic tools used by Magyar. We apply our formula to prove a necessary divisibility condition for a monomial to appear in a given Grothendieck polynomial.