论文标题

$ p $ -schur阳性$ p $ -grothendieck多项式

$P$-Schur positive $P$-Grothendieck Polynomials

论文作者

Hawkes, Graham

论文摘要

对称的Grothendieck多项式概括了schur多项式,并且按程度是schur阳性的。从组合上看,这表现为Set值tableaux对Semistard Young Tableaux的概括。我们定义了一个(弱)对称$ p $ -grothendieck多项式,该多项式以相同的方式概括了$ p $ -schur多项式。合并从组合中,这表现为通过一种新型的tableaux概括了偏移的semistard Young Tableaux,我们称之为移动的多发表tableaux。

The symmetric Grothendieck polynomials generalize Schur polynomials and are Schur-positive by degree. Combinatorially this is manifested as the generalization of semistandard Young tableaux by set-valued tableaux. We define a (weak) symmetric $P$-Grothendieck polynomial which generalizes $P$-Schur polynomials in the same way. Combinatorially this is manifested as the generalization of shifted semistandard Young tableaux by a new type of tableaux which we call shifted multiset tableaux.

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