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

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	On d-Dimensional Lattice (co)sine n-Algebra
	Yao Shaokui 1; Ding Lu2 ; Liu Peng2 ; Zhang Chunhong 1; Zhao Weizhong 1
	2016
发表期刊	Communications in Theoretical Physics
ISSN	0253-6102
卷号	66 期号:4 页码:423
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23882
专题	应用数学研究所
作者单位	1.首都师范大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Yao Shaokui,Ding Lu,Liu Peng,et al. On d-Dimensional Lattice (co)sine n-Algebra[J]. Communications in Theoretical Physics,2016,66(4):423.
APA	Yao Shaokui,Ding Lu,Liu Peng,Zhang Chunhong,&Zhao Weizhong.(2016).On d-Dimensional Lattice (co)sine n-Algebra.Communications in Theoretical Physics,66(4),423.
MLA	Yao Shaokui,et al."On d-Dimensional Lattice (co)sine n-Algebra".Communications in Theoretical Physics 66.4(2016):423.