{"title":"Multiplications on a localized Hopf space","authors":"H. Ōshima","doi":"10.5036/MJIU.33.17","DOIUrl":null,"url":null,"abstract":"We give a partial answer to the problem: Given a connected finite CW Hopf space X, determine sets P of prime numbers such that every multiplication on the P-localization XP of X is a P-localization of a multiplication on X. A complete answer is given when X is of rank at most 2 or a simple Lie group.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"87 1","pages":"17-21"},"PeriodicalIF":0.0000,"publicationDate":"2001-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Ibaraki University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/MJIU.33.17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
We give a partial answer to the problem: Given a connected finite CW Hopf space X, determine sets P of prime numbers such that every multiplication on the P-localization XP of X is a P-localization of a multiplication on X. A complete answer is given when X is of rank at most 2 or a simple Lie group.
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