中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Geometry of 2 x 2 hermitian matrices

文献类型:期刊论文

作者Huang, LP; Wan, ZX
刊名SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
出版日期2002-08-01
卷号45期号:8页码:1025-1037
关键词division ring involution generalized quaternion hermitian matrix adjacency
ISSN号1006-9283
英文摘要Let D be a division ring which possesses an involution a --> (a) over bar. Assume that F = {a is an element of D\a = (a) over bar} is a proper subfield of D and is contained in the center of D. It is pointed out that if D is of characteristic not two, D is either a separable quadratic extension of F or a division ring of generalized quaternions over F and that if D is of characteristic two, D is a separable quadratic extension of F. Thus the trace map Tr: D --> F, a --> a + (a) over bar is always surjective, which is formerly posed as an assumption in the fundamental theorem of n x n hermitian matrices over D when n greater than or equal to 3 and now can be deleted. When D is a field, the fundamental theorem of 2 x 2 hermitian matrices over D has already been proved. This paper proves the fundamental theorem of 2 x 2 hermitian matrices over any division ring of generalized quaternions of characteristic not two.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000177545600009
出版者SCIENCE CHINA PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/17507]  
专题中国科学院数学与系统科学研究院
通讯作者Huang, LP
作者单位1.Xiangtan Polytech Univ, Inst Math, Xiangtan 411201, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
推荐引用方式
GB/T 7714
Huang, LP,Wan, ZX. Geometry of 2 x 2 hermitian matrices[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2002,45(8):1025-1037.
APA Huang, LP,&Wan, ZX.(2002).Geometry of 2 x 2 hermitian matrices.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,45(8),1025-1037.
MLA Huang, LP,et al."Geometry of 2 x 2 hermitian matrices".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 45.8(2002):1025-1037.

入库方式: OAI收割

来源:数学与系统科学研究院

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