{"title":"Suzuki Hopf代数的自同构群","authors":"Yuxing Shi, Naihong Hu","doi":"10.1007/s10468-025-10346-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we calculate explicitly automorphism group of the Suzuki’s Hopf algebra <span>\\(A_{Nn}^{\\mu \\lambda }\\)</span> by viewing Yetter-Drinfeld modules as invariants of Hopf algebra automorphisms.</p></div>","PeriodicalId":50825,"journal":{"name":"Algebras and Representation Theory","volume":"28 4","pages":"981 - 996"},"PeriodicalIF":0.6000,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Automorphism Group of Suzuki’s Hopf Algebra\",\"authors\":\"Yuxing Shi, Naihong Hu\",\"doi\":\"10.1007/s10468-025-10346-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we calculate explicitly automorphism group of the Suzuki’s Hopf algebra <span>\\\\(A_{Nn}^{\\\\mu \\\\lambda }\\\\)</span> by viewing Yetter-Drinfeld modules as invariants of Hopf algebra automorphisms.</p></div>\",\"PeriodicalId\":50825,\"journal\":{\"name\":\"Algebras and Representation Theory\",\"volume\":\"28 4\",\"pages\":\"981 - 996\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebras and Representation Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10468-025-10346-5\",\"RegionNum\":4,\"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":"Algebras and Representation Theory","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10468-025-10346-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we calculate explicitly automorphism group of the Suzuki’s Hopf algebra \(A_{Nn}^{\mu \lambda }\) by viewing Yetter-Drinfeld modules as invariants of Hopf algebra automorphisms.
期刊介绍:
Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups.
The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.