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

Revue:
Journal of Algebra

ISSN: 0021-8693

Année de publication: 2006

Volumen: 303

Número: 1

Pages: 1-29

Type: Article

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

D'autres publications dans: Journal of Algebra

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Résumé

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.