On the Algebras Formed by the Cayley-Dickson Process
On the Algebras Formed by the Cayley-Dickson Process
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DOI：
10.2307/2372583
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发表时间：
1954-04
影响因子：
1.7
通讯作者：
R. D. Schafer
中科院分区：
文献类型：
--
作者：
R. D. Schafer
2t-dimensional algebras = St- = fi{y2, * * *, yt} over F. We write = Wft+1 = -'Wt{yt+l} = WlV{72, * *, yt+j}, and it is clear that in our notation t = V1 {2, * *, 'y}} and t i = f{-y+,, * *, Iyt} imply Wt = V1{7y2, * * *,y}. The best-known cases of the algebras St are the algebras W2 of generalized quaternions, and the Cayley-Dickson algebras (E = 3. In this paper we derive first some elementary properties of the algebras Vt. Our chief purpose is to compute their derivation algebras Z (Vt) for
