Noncommutative matrix jordan algebras, cayley-dickson algebras, and schafer's theorem1
作者:
Robert B. Brown,
Nora C. Hopkins,
期刊:
Communications in Algebra
(Taylor Available online 1995)
卷期:
Volume 23,
issue 1
页码: 373-397
ISSN:0092-7872
年代: 1995
DOI:10.1080/00927879508825226
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We provide a construction of noncommutative Jordan algebras of degree two. The construction can be iterated, and we show that after the first few iterations no new derivations arise. The relationship between this iterative process and the Cayley-Dickson process is studied, and the result on deriva¬tions is used to obtain a generalization of Schafer's classical theorem on the derivation algebras of Cayley-Dickson algebras.
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