On the constructions of Tits and Faulkner: an isomorphism theorem
2001 ◽
Vol 28
(11)
◽
pp. 673-678
Keyword(s):
Classification theory guarantees the existence of an isomorphism between any twoE8's, at least over an algebraically closed field of characteristic0. The purpose of this paper is to construct for any Jordan algebraJof degree3over a fieldΦof characteristic≠2,3an explicit isomorphism between the algebra obtained fromJby Faulkner's construction and the algebra obtained from the split octonions andJby Tits construction.
Keyword(s):
1959 ◽
Vol 14
◽
pp. 223-234
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Keyword(s):
2013 ◽
Vol 89
(2)
◽
pp. 234-242
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2014 ◽
Vol 35
(7)
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pp. 2242-2268
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2011 ◽
Vol 11
(2)
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pp. 221-271
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1976 ◽
Vol 59
(1)
◽
pp. 29-29
◽
Keyword(s):
Keyword(s):
2008 ◽
Vol 4
(1)
◽
pp. 91-100