Isomorphism classes and automorphism groups of algebras of Weyl type

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	Isomorphism classes and automorphism groups of algebras of Weyl type
	Su, YC ; Zhao, KM
	2002-08-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	45 期号:8 页码:953-963
摘要	In one of our recent papers, the associative and the Lie algebras of Weyl type A[D] = A circle times F[D] were defined and studied, where A is a commutative associative algebra with an identity element over a field F of any characteristic, and F[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 F being a field of characteristic 0, D consisting of locally finite but not locally nilpotent derivations of A, are studied. The isomorphism classes and automorphism groups of these associative and Lie algebras are determined.
关键词	simple Lie algebra simple associative algebra derivation isomorphism class automorphism group
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000177545600001
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/17885
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,Zhao, KM. Isomorphism classes and automorphism groups of algebras of Weyl type[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2002,45(8):953-963.
APA	Su, YC,&Zhao, KM.(2002).Isomorphism classes and automorphism groups of algebras of Weyl type.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,45(8),953-963.
MLA	Su, YC,et al."Isomorphism classes and automorphism groups of algebras of Weyl type".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 45.8(2002):953-963.