Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$ | |
Lin, Zhangli1,3; Zhou, Xiangyu2,4,5,6 | |
刊名 | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY |
2022-12-26 | |
页码 | 20 |
ISSN号 | 0024-6115 |
DOI | 10.1112/plms.12501 |
英文摘要 | In this paper, using ideas of Andersen and Lempert on the group of holomorphic automorphisms Aut(Cn)${\rm{Aut}}({\mathbb{C}}<^>{n})$ (n > 2$n\geqslant 2$), we prove that the subgroups in Aut(Cn)${\rm{Aut}}({\mathbb{C}}<^>{n})$ and Autsp(C2n)${\rm{Aut}}_{\rm{sp}}({\mathbb{C}}<^>{2n})$ (n > 2$n\geqslant 2$) generated by different types of 'shears' are all distinct, which answer affirmatively to two conjectures posed by Forstneric. |
资助项目 | National Natural Science Foundation of China ; [11688101] ; [12288201] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | WILEY |
WOS记录号 | WOS:000902384300001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60467] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhou, Xiangyu |
作者单位 | 1.Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China 3.Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing, Peoples R China 4.Acad Mil Med Sci, Inst Math, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 6.Acad Mil Med Sci, Inst Math, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Lin, Zhangli,Zhou, Xiangyu. Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY,2022:20. |
APA | Lin, Zhangli,&Zhou, Xiangyu.(2022).Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY,20. |
MLA | Lin, Zhangli,et al."Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$".PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY (2022):20. |
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