Universal similarity factorization equalities over generalized Clifford algebras

doi:10.1007/s10114-005-0552-2

CORC > 上海财经大学 > 上海财经大学

	Universal similarity factorization equalities over generalized Clifford algebras
	Tian, YG
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2006-01
卷号	22 期号:1 页码:289-300
关键词	algebraic isomorphism quaternionic algebra Clifford algebra matrix representation universal similarity factorization equality
ISSN号	1439-8516
DOI	10.1007/s10114-005-0552-2
英文摘要	For any element a in a generalized 2(n)-dimensional Clifford algebra bl(n)(F) over an arbitrary field F of characteristic not equal to two, it is shown that there exits a universal invertible matrix P-n over bl(n)(F) such that Pn-1DaPn = phi(a) is an element of F-2n x 2n, where phi(a) is a matrix representation of a over and D-a is a diagonal matrix consisting of a or its conjugate.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000234014800033
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2672]
专题	上海财经大学
通讯作者	Tian, YG
作者单位	Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Tian, YG. Universal similarity factorization equalities over generalized Clifford algebras[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2006,22(1):289-300.
APA	Tian, YG.(2006).Universal similarity factorization equalities over generalized Clifford algebras.ACTA MATHEMATICA SINICA-ENGLISH SERIES,22(1),289-300.
MLA	Tian, YG."Universal similarity factorization equalities over generalized Clifford algebras".ACTA MATHEMATICA SINICA-ENGLISH SERIES 22.1(2006):289-300.