A representation of the Lorentz spin group and its application

doi:10.1007/s10114-007-0930-z

	A representation of the Lorentz spin group and its application
	Lu, Qi Keng ; Wu, Ke
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2007-04-01
卷号	23 期号:4 页码:577-598
关键词	Lorentz spin group representation Yang-Mills equation
ISSN号	1439-8516
DOI	10.1007/s10114-007-0930-z
英文摘要	For an integer m >= 4, we define a set of 2([m/2]) x 2([m/2]) matrices gamma(j) (m), (j = 0, 1,..., m-1) which satisfy gamma(j)(m)gamma(k)(m) + gamma(k)(m)gamma(j)(m) = 2 eta(jk)(m)I[m/2], where (eta(jk)(m)) (0 <= j,k < m-1) is a diagonal matrix, the first diagonal element of which is 1 and the others are -1, I-[m/2] is a 2([m/2]) x 2([m/2]) identity matrix with [m/2] being the integer part of m/2. For m = 4 and 5, the representation h(m) of the Lorentz Spin group is known. For m >= 6, we prove that (i) when m = 2n, (n >= 3), h(m) is the group generated by the set of matrices [GRAPHIC] (ii) when m = 2n + 1 (n >= 3), h(m) is generated by the set of matrices [GRAPHIC]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000245235600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/4997]
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, Qi Keng
作者单位	1.Chinese Acad Sci, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China
推荐引用方式 GB/T 7714	Lu, Qi Keng,Wu, Ke. A representation of the Lorentz spin group and its application[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(4):577-598.
APA	Lu, Qi Keng,&Wu, Ke.(2007).A representation of the Lorentz spin group and its application.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(4),577-598.
MLA	Lu, Qi Keng,et al."A representation of the Lorentz spin group and its application".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.4(2007):577-598.