Central simple Poisson algebras

doi:10.1360/02ys0277

CSpace

	Central simple Poisson algebras
	Su, YC ; Xu, XP
	2004-04-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	47 期号:2 页码:245-263
摘要	Poisson algebras are fundamental algebraic structures in physics and symplectic geometry. However, the structure theory of Poisson algebras has not been well developed. In this paper, we determine the structure of the central simple Poisson algebras related to locally finite derivations, over an algebraically closed field of characteristic zero. The Lie algebra structures of these Poisson algebras are in general not finitely-graded.
关键词	Poisson algebra locally-finite operator derivation finitely-graded isomorphism class
DOI	10.1360/02ys0277
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000221117700008
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19206
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Su, YC,Xu, XP. Central simple Poisson algebras[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2004,47(2):245-263.
APA	Su, YC,&Xu, XP.(2004).Central simple Poisson algebras.SCIENCE IN CHINA SERIES A-MATHEMATICS,47(2),245-263.
MLA	Su, YC,et al."Central simple Poisson algebras".SCIENCE IN CHINA SERIES A-MATHEMATICS 47.2(2004):245-263.