KMS Of Academy of mathematics and systems sciences, CAS
NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES | |
Dokovic, Dragomir Z.1; Zhao, Kaiming2,3 | |
2008-10-01 | |
发表期刊 | JOURNAL OF ALGEBRA AND ITS APPLICATIONS |
ISSN | 0219-4988 |
卷号 | 7期号:5页码:671-683 |
摘要 | Let F be an algebraically closed field of characteristic not 2. Define the orthogonal group, O-n(F), as the subgroup of GL(n)(F) consisting of matrices X such that X-1 = X', the transpose of X. We prove that any A is an element of O-n(F) having no elementary divisors (t +/- 1)(k), with k even, is conjugate to a direct sum of zigzag matrices. A zigzag matrix is a special kind of a band matrix with only five nonzero diagonals. We also propose a conjecture about the case excluded above. |
关键词 | Orthogonal matrices orthogonal similarity of matrices near diagonal representatives algebraically closed fields |
语种 | 英语 |
资助项目 | NSERC ; NSF of China[10371120] ; NSF of China[10431040] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000260274700011 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/5967 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Dokovic, Dragomir Z. |
作者单位 | 1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Dokovic, Dragomir Z.,Zhao, Kaiming. NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS,2008,7(5):671-683. |
APA | Dokovic, Dragomir Z.,&Zhao, Kaiming.(2008).NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES.JOURNAL OF ALGEBRA AND ITS APPLICATIONS,7(5),671-683. |
MLA | Dokovic, Dragomir Z.,et al."NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES".JOURNAL OF ALGEBRA AND ITS APPLICATIONS 7.5(2008):671-683. |
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