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  • 标题:On the constructions of Tits and Faulkner: an isomorphism theorem
  • 本地全文:下载
  • 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
  • 期号:11
  • 页码:673-678
  • DOI:10.1155/S0161171201011292
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Classification theory guarantees the existence of an isomorphism between any two E 8 '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.

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