AN OCTONION ALGEBRA ORIGINATING IN COMBINATORICS

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	AN OCTONION ALGEBRA ORIGINATING IN COMBINATORICS
	Dokovic, Dragomir Z.1; Zhao, Kaiming 2,3
	2010-12-01
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	138 期号:12 页码:4187-4195
摘要	C.H. Yang discovered a polynomial version of the classical Lagrange identity expressing the product of two sums of four squares as another sum of four squares. He used it to give short proofs of some important theorems on composition of delta-codes (now known as T-sequences). We investigate the possible new versions of his polynomial Lagrange identity. Our main result shows that all such identities are equivalent to each other.
关键词	Laurent polynomial ring polynomial Lagrange identity octonion algebra composition algebra
语种	英语
资助项目	NSERC ; NSF of China[10871192]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000284787700004
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9781
专题	中国科学院数学与系统科学研究院
通讯作者	Dokovic, Dragomir Z.
作者单位	1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Dokovic, Dragomir Z.,Zhao, Kaiming. AN OCTONION ALGEBRA ORIGINATING IN COMBINATORICS[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2010,138(12):4187-4195.
APA	Dokovic, Dragomir Z.,&Zhao, Kaiming.(2010).AN OCTONION ALGEBRA ORIGINATING IN COMBINATORICS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,138(12),4187-4195.
MLA	Dokovic, Dragomir Z.,et al."AN OCTONION ALGEBRA ORIGINATING IN COMBINATORICS".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 138.12(2010):4187-4195.