{"title":"Hopf代数作用与Frobenius的转移及对称性质","authors":"S. Dascalescu, C. Nastasescu, L. Nastasescu","doi":"10.7146/math.scand.a-115970","DOIUrl":null,"url":null,"abstract":"If H is a finite-dimensional Hopf algebra acting on a finite-dimensional algebra A, we investigate the transfer of the Frobenius and symmetric properties through the algebra extensions AH⊂A⊂A#H.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Hopf algebra actions and transfer of Frobenius and symmetric properties\",\"authors\":\"S. Dascalescu, C. Nastasescu, L. Nastasescu\",\"doi\":\"10.7146/math.scand.a-115970\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"If H is a finite-dimensional Hopf algebra acting on a finite-dimensional algebra A, we investigate the transfer of the Frobenius and symmetric properties through the algebra extensions AH⊂A⊂A#H.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-03-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7146/math.scand.a-115970\",\"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/10.7146/math.scand.a-115970","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hopf algebra actions and transfer of Frobenius and symmetric properties
If H is a finite-dimensional Hopf algebra acting on a finite-dimensional algebra A, we investigate the transfer of the Frobenius and symmetric properties through the algebra extensions AH⊂A⊂A#H.
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