{"title":"The Length of PU(2,1) Relative to Special Elliptic Isometries with Fixed Parameter","authors":"Felipe de Aguilar Franco","doi":"10.1307/mmj/20206013","DOIUrl":null,"url":null,"abstract":"Generalizing the involution length of the complex hyperbolic plane, we obtain that the α -length of PU(2 , 1) is 4, that is, every element of PU(2 , 1) can be decomposed as the product of at most 4 special elliptic isometries with parameter α . We also describe the isometries that can be written as the product of 2 or 3 such special elliptic isometries.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/mmj/20206013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Generalizing the involution length of the complex hyperbolic plane, we obtain that the α -length of PU(2 , 1) is 4, that is, every element of PU(2 , 1) can be decomposed as the product of at most 4 special elliptic isometries with parameter α . We also describe the isometries that can be written as the product of 2 or 3 such special elliptic isometries.
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