文章基本信息

标题：On the constructions of Tits and Faulkner: an isomorphism theorem
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作者：Sudhir R. Nath
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2001
卷号：28
DOI：10.1155/S0161171201011292
出版社：Hindawi Publishing Corporation
摘要：Classification theory guarantees the existence of an isomorphism between any two E8's, at least over an algebraically closed field of characteristic 0. The purpose of this paper is to construct for any Jordan algebra J of degree 3 over a field Φ of characteristic ≠2,3 an explicit isomorphism between the algebra obtained from J by Faulkner's construction and the algebra obtained from the split octonions and J by Tits construction.