Assosymmetric Operad

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-09-19 DOI:10.46298/cm.9740

Bekzat K. Zhakhayev, A. Dzhumadil'daev, Saule A. Abdykassymova

引用次数: 0

Abstract

An algebra with identities (a, b, c) = (a, c, b) = (b, a, c) is called assosymmetric, where (x, y, z) = x(yz) − (xy)z is associator. We establish that operad of assosymmetric algebras is not Koszul. We study Sn-module, An-module and GLn-module structures on multilinear parts of assosymmetric operad.

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非对称操作数

具有恒等式（a，b，c）=（a，c，b）=（b，a，c）的代数称为关联对称代数，其中（x，y，z）=x（yz）−（xy）z是缔合子。我们证明了非对称代数的操纵子不是Koszul。我们研究了关联对称操纵子多线性部分上的Sn模、An模和GLn模结构。

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

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.