On the constructions of Tits and Faulkner: an isomorphism theorem

Sudhir R. Nath

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-6

Abstract:

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:956743

DOI: 10.1155/S0161171201011292

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