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A Tableau Formula of Double Grothendieck Polynomials for 321-Avoiding Permutations
Annals of Combinatorics ( IF 0.5 ) Pub Date : 2020-01-14 , DOI: 10.1007/s00026-019-00481-4
Tomoo Matsumura

In this article, we prove a tableau formula for the double Grothendieck polynomials associated to 321-avoiding permutations. The proof is based on the compatibility of the formula with the K-theoretic divided difference operators. Our formula specializes to the one obtained by Chen et al. (Eur J Combin 25(8):1181–1196, 2004) for the (double) skew Schur polynomials.

中文翻译:

避免321置换的双Grothendieck多项式的Tableau公式

在本文中,我们证明了与321-避免置换相关的双重Grothendieck多项式的表格公式。证明是基于公式与K理论除法差分算子的兼容性。我们的公式专门针对由Chen等人获得的公式。(Eur J Combin 25(8):1181-1196,2004),用于(双)偏斜Schur多项式。
更新日期:2020-01-14
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