长度为3的环对称群代数中心结构系数的若干显式表达式

Q3 Mathematics

Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2019-05-08 DOI:10.13069/JACODESMATH.560404

Omar Tout

{"title":"长度为3的环对称群代数中心结构系数的若干显式表达式","authors":"Omar Tout","doi":"10.13069/JACODESMATH.560404","DOIUrl":null,"url":null,"abstract":"We use the combinatorial way to give an explicit expression for the product of the class of cycles of length three with an arbitrary class of cycles. In addition, an explicit formula for the coefficient of an arbitrary class in the expansion of the product of an arbitrary class by the class of cycles of length three is given.","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three\",\"authors\":\"Omar Tout\",\"doi\":\"10.13069/JACODESMATH.560404\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We use the combinatorial way to give an explicit expression for the product of the class of cycles of length three with an arbitrary class of cycles. In addition, an explicit formula for the coefficient of an arbitrary class in the expansion of the product of an arbitrary class by the class of cycles of length three is given.\",\"PeriodicalId\":37029,\"journal\":{\"name\":\"Journal of Algebra Combinatorics Discrete Structures and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra Combinatorics Discrete Structures and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.13069/JACODESMATH.560404\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra Combinatorics Discrete Structures and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13069/JACODESMATH.560404","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 2

摘要

我们用组合的方法给出了长度为3的循环类与任意一类循环的乘积的显式表达式。此外，在任意类的乘积由长度为3的循环类展开时，给出了任意类的系数的显式。

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

Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three

We use the combinatorial way to give an explicit expression for the product of the class of cycles of length three with an arbitrary class of cycles. In addition, an explicit formula for the coefficient of an arbitrary class in the expansion of the product of an arbitrary class by the class of cycles of length three is given.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Algebra Combinatorics Discrete Structures and Applications Mathematics-Algebra and Number Theory

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

5 weeks