Division composition algebras through their derivation algebras

  1. Pérez-Izquierdo, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Journal of Algebra

ISSN: 0021-8693

Ano de publicación: 2006

Volume: 303

Número: 1

Páxinas: 1-29

Tipo: Artigo

DOI: 10.1016/J.JALGEBRA.2006.06.014 SCOPUS: 2-s2.0-33746584489 WoS: WOS:000240353200001 GOOGLE SCHOLAR

Outras publicacións en: Journal of Algebra

Repositorio institucional: lock_openAcceso aberto Editor

Resumo

Composition algebras are algebras with a nondegenerate quadratic multiplicative form. In this paper we construct five families of division composition algebras and prove that any division composition algebra with nonabelian derivation algebra belongs to one of these families. As a by-product we obtain new examples of real division algebras. © 2006 Elsevier Inc. All rights reserved.