Structure of algebras of Weyl type
文献类型:期刊论文
作者 | Su, YC; Zhao, KM |
刊名 | COMMUNICATIONS IN ALGEBRA
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出版日期 | 2004 |
卷号 | 32期号:3页码:1051-1059 |
关键词 | lie algebra of Weyl type associative algebra of Weyl type derivation isomorphism class |
ISSN号 | 0092-7872 |
DOI | 10.1081/AGB-120027966 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000220298100016 |
出版者 | MARCEL DEKKER INC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19190] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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