超空间中的基本拟对称函数

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2024-12-06 DOI:10.1016/j.ejc.2024.104096

Susanna Fishel , Jessica Gatica , Luc Lapointe , María Elena Pinto

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引用次数: 0

摘要

超空间中的基本拟对称函数是包含反交换变量的基本拟对称函数的推广。得到了超空间中基本拟对称函数的乘积、副乘积和对映对的作用。我们也将众所周知的舒尔函数在基本拟对称函数中的展开式推广到超空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fundamental quasisymmetric functions in superspace

The fundamental quasisymmetric functions in superspace are a generalization of the fundamental quasisymmetric functions involving anticommuting variables. We obtain the action of the product, coproduct, and antipode on the fundamental quasisymmetric functions in superspace. We also extend to superspace the well known expansion of the Schur functions in terms of fundamental quasisymmetric functions.

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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.