中国科学院机构知识库网格
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Simple algebras of Weyl type, II

文献类型:期刊论文

作者Zhao, KM
刊名PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
出版日期2002
卷号130期号:5页码:1323-1332
关键词simple Lie algebra simple associative algebra derivation
ISSN号0002-9939
英文摘要Over a field F of any characteristic, for a commutative associative algebra A, and for a commutative subalgebra D of Der(F)(A), the vector space A[D] which consists of polynomials of elements in D with coefficients in A and which is regarded as operators on A forms naturally an associative algebra. It is proved that, as an associative algebra, A[D] is simple if and only if A is D-simple. Suppose A is D-simple. Then, (a) A[D] is a free left A-module; (b) as a Lie algebra, the subquotient [A[D], A[D]]/(Z(A[D]) boolean AND [A[D], A[D]]) is simple (except for one case), where Z(A[D]) is the center of A[D]. The structure of this subquotient is explicitly described. This extends the results obtained by Su and Zhao.
语种英语
WOS记录号WOS:000173652900010
出版者AMER MATHEMATICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/17028]  
专题中国科学院数学与系统科学研究院
通讯作者Zhao, KM
作者单位Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Zhao, KM. Simple algebras of Weyl type, II[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2002,130(5):1323-1332.
APA Zhao, KM.(2002).Simple algebras of Weyl type, II.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,130(5),1323-1332.
MLA Zhao, KM."Simple algebras of Weyl type, II".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 130.5(2002):1323-1332.

入库方式: OAI收割

来源:数学与系统科学研究院

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