期刊
COMMUNICATIONS IN ALGEBRA
卷 31, 期 10, 页码 5071-5094出版社
MARCEL DEKKER INC
DOI: 10.1081/AGB-120023148
关键词
nonassociative algebras; Cayley-Dickson algebras
类别
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.
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