On the projective representations of the Bondi-Metzner-Sachs group

CSpace > 应用数学研究所

	On the projective representations of the Bondi-Metzner-Sachs group
	Lau, YK; Wu, XN
	2001-02-08
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN	1364-5021
卷号	457 期号:2006 页码:453-469
摘要	With the Bondi-Metzner-Sachs (BMS) group in general relativity as the main motivation and example, a theorem is proved which may be described as follows. Let G be a complex semisimple, connected and simply connected Lie group with compact real form K, and let A be a metrizable, complete and locally convex real topological vee tor space on which there is a continuous G action. Consider the semidirect product topological group G x(s) A (which is, in general, infinite-dimensional) constructed naturally out of G and A. If the set of equivalence classes of irreducible representations of K in A satisfies certain hypotheses, then the second cohomology group of G x(s) A in the sense of continuous group cohomology is trivial. When G = SL(2, C) and A is an appropriate function space of real-valued functions of the 2-sphere endowed with a specific. G action (e.g. A may consist of C-k, k greater than or equal to 3, real-valued functions defined on the 2-sphere), the semidirect product group is title universal cover of the EMS group. The theorem implies the existence of lifting of the projective unitary representations of the EMS group to the linear unitary representations of its universal cover. In the quantum context when we consider massless quantum fields at null infinity of a non-stationary, asymptotically Minkowskian space-time, in place of the projective unitary representations of the EMS group, there is no loss of generality in considering the linear unitary representations of its universal cover instead.
关键词	asymptotic symmetries projective representations gravitational radiation semidirect product group
语种	英语
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000166982600011
出版者	ROYAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16055
专题	应用数学研究所
通讯作者	Lau, YK
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
推荐引用方式 GB/T 7714	Lau, YK,Wu, XN. On the projective representations of the Bondi-Metzner-Sachs group[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2001,457(2006):453-469.
APA	Lau, YK,&Wu, XN.(2001).On the projective representations of the Bondi-Metzner-Sachs group.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,457(2006),453-469.
MLA	Lau, YK,et al."On the projective representations of the Bondi-Metzner-Sachs group".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 457.2006(2001):453-469.