论文标题
偏斜倾斜多项式的图表公式
Tableau formulas for skew Grothendieck polynomials
论文作者
论文摘要
如果是草个元素分解的左侧因素，则经典类型的元素是偏斜的。偏斜的Grothendieck多项式是由Weyl组偏斜元素索引的偏斜。我们定义了固定值的tableaux，它们是相关偏斜图的填充物，并用它们证明在所有四种经典的谎言类型中，偏斜双Grothendieck多项式。我们推断出晶状体Grothendieck多项式和（双重混合）偏斜史丹利功能的kseorety类似物的Tableau Formulas。
An element of a Weyl group of classical type is skew if it is the left factor in a reduced factorization of a Grassmannian element. The skew Grothendieck polynomials are those which are indexed by skew elements of the Weyl group. We define set-valued tableaux which are fillings of the associated skew Young diagrams and use them to prove tableau formulas for the skew double Grothendieck polynomials in all four classical Lie types. We deduce tableau formulas for the Grassmannian Grothendieck polynomials and the K-theoretic analogues of the (double mixed) skew Stanley functions in the respective Lie types.
