Real homogeneous algebras as truncated division algebras and their automorphism groups

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	Real homogeneous algebras as truncated division algebras and their automorphism groups
	Dokovic, DZ ; Zhao, KM
	2004-03-01
发表期刊	ALGEBRA COLLOQUIUM
ISSN	1005-3867
卷号	11 期号:1 页码:11-20
摘要	There are only three nontrivial real homogeneous algebras (their dimensions are 3, 6 and 7). We describe the automorphism groups of the 6- and 7-dimensional real homogeneous algebras and show that the 6-dimensional algebra (just as the other two) is obtained from a real division algebra by a simple procedure known as truncation. By reversing the procedure of truncation, we introduce the concept of enlargement of a real algebra and classify all enlargements of the three real homogeneous algebras. This leads to an interesting 8-parameter family of 8-dimensional real division algebras.
关键词	real division algebras quaternions octonions homogeneous algebras
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000189376600003
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19445
专题	中国科学院数学与系统科学研究院
通讯作者	Dokovic, DZ
作者单位	1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
推荐引用方式 GB/T 7714	Dokovic, DZ,Zhao, KM. Real homogeneous algebras as truncated division algebras and their automorphism groups[J]. ALGEBRA COLLOQUIUM,2004,11(1):11-20.
APA	Dokovic, DZ,&Zhao, KM.(2004).Real homogeneous algebras as truncated division algebras and their automorphism groups.ALGEBRA COLLOQUIUM,11(1),11-20.
MLA	Dokovic, DZ,et al."Real homogeneous algebras as truncated division algebras and their automorphism groups".ALGEBRA COLLOQUIUM 11.1(2004):11-20.