Classification of derivation-simple color algebras related to locally finite derivations

doi:10.1063/1.1628837

CSpace

	Classification of derivation-simple color algebras related to locally finite derivations
	Su, YC ; Zhao, KM ; Zhu, LS
	2004
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	45 期号:1 页码:525-536
摘要	We classify the pairs (A,D) consisting of an (epsilon,Gamma)-color-commutative associative algebra A with an identity element over an algebraically closed field F of characteristic zero and a finite dimensional subspace D of (epsilon,Gamma)-color-commutative locally finite color-derivations of A such that A is Gamma-graded D-simple and the eigenspaces for elements of D are Gamma-graded. Such pairs are the important ingredients in constructing some simple Lie color algebras which are in general not finitely-graded. As some applications, using such pairs, we construct new explicit simple Lie color algebras of generalized Witt type, Weyl type. (C) 2004 American Institute of Physics.
DOI	10.1063/1.1628837
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000187429200033
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19227
专题	中国科学院数学与系统科学研究院
通讯作者	Su, YC
作者单位	1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 4.Changshu Coll, Dept Math, Jiangsu 215500, Peoples R China
推荐引用方式 GB/T 7714	Su, YC,Zhao, KM,Zhu, LS. Classification of derivation-simple color algebras related to locally finite derivations[J]. JOURNAL OF MATHEMATICAL PHYSICS,2004,45(1):525-536.
APA	Su, YC,Zhao, KM,&Zhu, LS.(2004).Classification of derivation-simple color algebras related to locally finite derivations.JOURNAL OF MATHEMATICAL PHYSICS,45(1),525-536.
MLA	Su, YC,et al."Classification of derivation-simple color algebras related to locally finite derivations".JOURNAL OF MATHEMATICAL PHYSICS 45.1(2004):525-536.