精炼正则稳定格罗滕迪克多项式及其对偶，第2部分

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2025-04-29 DOI:10.1016/j.ejc.2025.104166

Byung-Hak Hwang , Jihyeug Jang , Jang Soo Kim , Minho Song , U-Keun Song

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引用次数: 0

摘要

本文是第1部分的续篇，在第1部分中，我们引入了具有两个无穷参数族的精炼正则稳定格罗滕迪克多项式及其对偶。本文分别利用集值表和逆平面划分的推广给出了这些多项式的组合解释。我们的结果扩展到他们的标记和倾斜版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Refined canonical stable Grothendieck polynomials and their duals, Part 2

This paper is the sequel of the paper under the same title with part 1, where we introduced refined canonical stable Grothendieck polynomials and their duals with two families of infinite parameters. In this paper we give combinatorial interpretations for these polynomials using generalizations of set-valued tableaux and reverse plane partitions, respectively. Our results extend to their flagged and skew versions.

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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.