NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES

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	NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES
	Dokovic, Dragomir Z.1; Zhao, Kaiming 2,3
	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.