8m维无点Hopf代数的表示

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2023-10-28 DOI:10.1142/s0219498825500847

Yaguo Guo, Shilin Yang

{"title":"8m维无点Hopf代数的表示","authors":"Yaguo Guo, Shilin Yang","doi":"10.1142/s0219498825500847","DOIUrl":null,"url":null,"abstract":"In this paper, representations of the [Formula: see text]-dimensional non-pointed Hopf algebra [Formula: see text] of tame type are studied, where [Formula: see text] is even. First, the isomorphism classes of all indecomposable modules of [Formula: see text] are classified and the components of Auslander–Reiten quivers are constructed. Second, the tensor products of arbitrary indecomposable modules and simple (or projective) modules are established and the projective class rings and Grothendieck rings of [Formula: see text] are characterized.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":"228 1","pages":"0"},"PeriodicalIF":0.5000,"publicationDate":"2023-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Representations of an 8<i>m</i>-dimensional non-pointed Hopf algebra of tame type\",\"authors\":\"Yaguo Guo, Shilin Yang\",\"doi\":\"10.1142/s0219498825500847\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, representations of the [Formula: see text]-dimensional non-pointed Hopf algebra [Formula: see text] of tame type are studied, where [Formula: see text] is even. First, the isomorphism classes of all indecomposable modules of [Formula: see text] are classified and the components of Auslander–Reiten quivers are constructed. Second, the tensor products of arbitrary indecomposable modules and simple (or projective) modules are established and the projective class rings and Grothendieck rings of [Formula: see text] are characterized.\",\"PeriodicalId\":54888,\"journal\":{\"name\":\"Journal of Algebra and Its Applications\",\"volume\":\"228 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-10-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra and Its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s0219498825500847\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"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 and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219498825500847","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了单调型[公式:见文]维非点Hopf代数[公式:见文]的表示，其中[公式:见文]为偶。首先，对[公式:见文]的所有不可分解模的同构类进行分类，构造Auslander-Reiten颤振的分量。其次，建立了任意不可分解模与简单(或射影)模的张量积，并对[公式:见文]的射影类环和Grothendieck环进行了表征。

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

Representations of an 8m-dimensional non-pointed Hopf algebra of tame type

In this paper, representations of the [Formula: see text]-dimensional non-pointed Hopf algebra [Formula: see text] of tame type are studied, where [Formula: see text] is even. First, the isomorphism classes of all indecomposable modules of [Formula: see text] are classified and the components of Auslander–Reiten quivers are constructed. Second, the tensor products of arbitrary indecomposable modules and simple (or projective) modules are established and the projective class rings and Grothendieck rings of [Formula: see text] are characterized.

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 and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.