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Automorphism Group of a Non-Associative Algebra I

Title
Automorphism Group of a Non-Associative Algebra I
Author
왕문옥
Keywords
Simple; Non-associative algebra; Semi-Lie algebra; Right identity; Annihi-lator; m-abelian; Automorphism
Issue Date
2008-05
Publisher
Southeast Asian Mathematical Society
Citation
Southeast Asian Bulletin of Mathematics, v. 32, No. 2, Page. 325-331
Abstract
Automorphisms of a Weyl-type non-associative subalgebra of WNn;m;s were studied in [2], [3], [4], [12], [13]. There are various papers on the automorphism groups of an associative algebra, a Lie algebra, and a non-associative algebra [4], [5], [11]. It seems that there is no paper on automorphisms of a semi-Lie algebra in the literature. A degree on an algebra is used to ??nd the derivation group of an algebra in the paper [13]. We ??nd the automorphism groups Autonon(WN0;0;12) and Autosemi?Lie(WN0;0;12[;]) of the non-associative algebra WN0;0;12 and the semi-Lie algebra WN0;0;12[;] respectively in this paper. The results of an algebra in this paper do not depend on its standard basis.
URI
http://www.seams-bull-math.ynu.edu.cn/archive.htmlhttps://repository.hanyang.ac.kr/handle/20.500.11754/80359
ISSN
0129-2021
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
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