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Cayley-dickson algebras and alternative loop algebras

 

作者: Yongxin Zhou,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 1  

页码: 523-539

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008841087

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

In this paper we establish a relationship between alternative loop algebras and Cayley-Dickson algebras: any Cayley-Dickson algebra is a quotient algebra of an alternative loop algebra. Thus we give a new way of representing a Cayley-Dickson algebra. As an application, a result of Luiz G. X. de Barros is generalized.

 

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