Ternary Derivations of Generalized Cayley-Dickson Algebras

  1. Jiménez-Gestal, C. 1
  2. Pérez-Izquierdo, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Communications in Algebra

ISSN: 0092-7872

Año de publicación: 2003

Volumen: 31

Número: 10

Páginas: 5071-5094

Tipo: Artículo

DOI: 10.1081/AGB-120023148 SCOPUS: 2-s2.0-0042238446 WoS: WOS:000185117800023 GOOGLE SCHOLAR

Otras publicaciones en: Communications in Algebra

Resumen

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.