Ternary Derivations of Generalized Cayley-Dickson Algebras
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Universidad de La Rioja
info
ISSN: 0092-7872
Year of publication: 2003
Volume: 31
Issue: 10
Pages: 5071-5094
Type: Article
More publications in: Communications in Algebra
Abstract
Ternary derivations, ternary Cayley derivations and ternary automorphisms are computed over fields of characteristic ≠2, 3 for the algebras A t obtained by the Cayley-Dickson duplication process. While the derivation algebra of At stops growing after t = 3, the ternary derivation algebra significantly decreases in the step from the octonions A 3 to the sedenions A4, revealing the symmetry lost on that stage.