对偶Radford代数上有限维Hopf代数的分类

Pub Date : 2022-09-15 DOI:10.36045/j.bbms.210612

Rongchuan Xiong, N. Hu

{"title":"对偶Radford代数上有限维Hopf代数的分类","authors":"Rongchuan Xiong, N. Hu","doi":"10.36045/j.bbms.210612","DOIUrl":null,"url":null,"abstract":". We determine and classify all ﬁnite-dimensional Hopf algebras over an algebraically closed ﬁeld of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension 4 p for a prime p > 5. In particular, we obtain families of new examples of ﬁnite-dimensional Hopf algebras without the dual Chevalley property.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Classification of finite-dimensional Hopf algebras over dual Radford algebras\",\"authors\":\"Rongchuan Xiong, N. Hu\",\"doi\":\"10.36045/j.bbms.210612\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We determine and classify all ﬁnite-dimensional Hopf algebras over an algebraically closed ﬁeld of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension 4 p for a prime p > 5. In particular, we obtain families of new examples of ﬁnite-dimensional Hopf algebras without the dual Chevalley property.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.36045/j.bbms.210612\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.36045/j.bbms.210612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

．在特征为0的代数闭域上，我们确定并分类了所有有限维Hopf代数，它们的Hopf根同构于素数p > 5的4p的对偶Radford代数。特别地，我们得到了不具有对偶Chevalley性质的有限维Hopf代数的新实例族。

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

Classification of finite-dimensional Hopf algebras over dual Radford algebras

. We determine and classify all ﬁnite-dimensional Hopf algebras over an algebraically closed ﬁeld of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension 4 p for a prime p > 5. In particular, we obtain families of new examples of ﬁnite-dimensional Hopf algebras without the dual Chevalley property.

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