Ternary derivations of generalized Cayley-Dickson algebras

Ternary derivations, ternary Cayley derivations and tertiary automorphisms are computed over fields of characteristic not equal 2, 3 for the algebras A(t) obtained by the Cayley-Dickson duplication process. While the derivation algebra of A(t) stops growing after t = 3, the ternary derivation algebra significantly decreases in the step from the octonions A(3) to the sedenions A(4), revealing the symmetry lost on that stage.