Cayley-dickson algebras and alternative loop algebras |
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| Authors: | Yongxin Zhou |
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| Affiliation: | Department of Mathematics and Statistics , Memorial University of Newfoundland , St. John's, Newfoundland, A1C 5S7, Canada E-mail: yzhou@math.mun.ca |
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| Abstract: | 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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