{"title":"The roots of elements of Aut(SH2)","authors":"A. Mirzapour, R. Eskandari","doi":"10.7153/oam-2023-17-12","DOIUrl":null,"url":null,"abstract":". We study the roots of automorphisms on the Siegel upper half plane of complex di-mension three. We use the normal form of any element of Sp ( 2 , R ) under the conjugation in Sp ( 2 , R ) to show that some of automorphisms have roots and that some of them do not have. As an application, we generalize the Siegel unit disk of the same dimension.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operators and Matrices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2023-17-12","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. We study the roots of automorphisms on the Siegel upper half plane of complex di-mension three. We use the normal form of any element of Sp ( 2 , R ) under the conjugation in Sp ( 2 , R ) to show that some of automorphisms have roots and that some of them do not have. As an application, we generalize the Siegel unit disk of the same dimension.
期刊介绍：
''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews.
''OaM'' is published quarterly, in March, June, September and December.
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