On d-Dimensional Lattice (co)sine n-Algebra

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	On d-Dimensional Lattice (co)sine n-Algebra
	Yao, Shao-Kui 1; Ding, Lu 2; Liu, Peng 3; Zhang, Chun-Hong 1; Zhao, Wei-Zhong 1; Ding Lu
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2016-10-01
卷号	66 期号:4 页码:423-430
关键词	infinite-dimensional algebra sine algebra Nambu 3-algebra n-algebra
ISSN号	0253-6102
英文摘要	We present the (co)sine n-algebra which is indexed by the d-dimensional integer lattice. Due to the associative operators, this generalized (co)sine n-algebra is the higher order Lie algebra for the n even case. The particular cases are the d-dimensional lattice sine 3 and cosine 5-algebras with the special parameter values. We find that the corresponding d-dimensional lattice sine 3 and cosine 5-algebras are the Nambu 3-algebra and higher order Lie algebra, respectively. The limiting case of the d -dimensional lattice (co)sine n-algebra is also discussed. Moreover we construct the super sine n-algebra, which is the super higher order Lie algebra for the n even case.
资助项目	National Natural Science Foundation of China[11375119] ; National Natural Science Foundation of China[11475116]
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000386369800010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/23881]
专题	应用数学研究所
通讯作者	Zhao, Wei-Zhong
作者单位	1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yao, Shao-Kui,Ding, Lu,Liu, Peng,et al. On d-Dimensional Lattice (co)sine n-Algebra[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2016,66(4):423-430.
APA	Yao, Shao-Kui,Ding, Lu,Liu, Peng,Zhang, Chun-Hong,Zhao, Wei-Zhong,&Ding Lu.(2016).On d-Dimensional Lattice (co)sine n-Algebra.COMMUNICATIONS IN THEORETICAL PHYSICS,66(4),423-430.
MLA	Yao, Shao-Kui,et al."On d-Dimensional Lattice (co)sine n-Algebra".COMMUNICATIONS IN THEORETICAL PHYSICS 66.4(2016):423-430.