Structure of algebras of Weyl type

doi:10.1081/AGB-120027966

CSpace

	Structure of algebras of Weyl type
	Su, YC ; Zhao, KM
	2004
发表期刊	COMMUNICATIONS IN ALGEBRA
ISSN	0092-7872
卷号	32 期号:3 页码:1051-1059
摘要	In a recent paper by the authors, the associative and the Lie algebras of Weyl type A[D] = A circle times IF[D] were introduced, where A is a commutative associative algebra with an identity element over a field IF of any characteristic, and IF[D] is the polynomial algebra of a commutative derivation subalgebra D of A. In the present paper, a class of the above associative and Lie algebras A[D] with IF being a field of characteristic 0 and D consisting of locally finite derivations of A, is studied. The isomorphism classes of these associative and Lie algebras are determined. The structure of these algebras is described explicitly.
关键词	lie algebra of Weyl type associative algebra of Weyl type derivation isomorphism class
DOI	10.1081/AGB-120027966
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000220298100016
出版者	MARCEL DEKKER INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19191
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, Math Inst, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Su, YC,Zhao, KM. Structure of algebras of Weyl type[J]. COMMUNICATIONS IN ALGEBRA,2004,32(3):1051-1059.
APA	Su, YC,&Zhao, KM.(2004).Structure of algebras of Weyl type.COMMUNICATIONS IN ALGEBRA,32(3),1051-1059.
MLA	Su, YC,et al."Structure of algebras of Weyl type".COMMUNICATIONS IN ALGEBRA 32.3(2004):1051-1059.