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Showing 1 to 1 of 1 for “"Normed Division Algebra"”.
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Octonions and the Exceptional Lie Algebra g_2
… entitled "Cayley Numbers and Normal Simple Lie Algebras of Type G". We prove that the algebra of derivations on the octonions is a Lie algebra of type G_2. The proof proceeds by showing the set of derivations on the octonions is a Lie algebra, has dimension fourteen, and is semisimple. Next, we …