Composition algebras with large derivation algebras

  1. Elduque, A. 1
  2. Pérez, J.M. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Revista:
Journal of Algebra

ISSN: 0021-8693

Año de publicación: 1997

Volumen: 190

Número: 2

Páginas: 372-404

Tipo: Artículo

DOI: 10.1006/JABR.1996.6851 SCOPUS: 2-s2.0-0031569731 WoS: WOS:A1997WV35100005 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Algebra

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

The finite dimensional flexible composition algebras include the Hurwitz algebras (composition algebras with unit element), but also other interesting classes of algebras: the para-Hurwitz and the Okubo algebras. The above mentioned algebras present many symmetries, and this is reflected in their large derivation algebras. In the present paper we study the opposite question: What can be said about the composition algebras if we have some information about their derivation algebras? Our main result is the classification of all the composition algebras with such large derivation algebras. © 1997 Academic Press.