KMS Of Academy of mathematics and systems sciences, CAS
Isomorphism classes and automorphism groups of algebras of Weyl type | |
Su, YC; Zhao, KM | |
2002-08-01 | |
Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY |
ISSN | 1006-9283 |
Volume | 45Issue:8Pages:953-963 |
Abstract | 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. |
Keyword | simple Lie algebra simple associative algebra derivation isomorphism class automorphism group |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000177545600001 |
Publisher | SCIENCE CHINA PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17885 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Su, YC |
Affiliation | 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 |
Recommended Citation 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. |
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