Bialgebraic Structure on a Coder Pair of Any Weight

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-07-20 DOI:10.1007/s00025-024-02241-0

Mengqi Li, Tianshui Ma

引用次数: 0

Abstract

In this paper, we establish a bialgebraic structure on a Coder pair of any weight \(\lambda \) (i.e., a coassociative coalgebra with a coderivation of weight \(\lambda \)), which is consistent with the differential antisymmetric infinitesimal bialgebra in (SIGMA 19:018, 2023) when the weight \(\lambda =0\).

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任意权重编码器对的双代数结构

在本文中，我们在任意权重 \(\lambda \)的编码对上建立了一个双代数结构（即一个具有权重 \(\lambda \)的编码分的共协代数），当权重 \(\lambda =0\)时，它与（SIGMA 19:018, 2023）中的微分反对称无穷小双代数是一致的。

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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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.