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

Journal:
Journal of Algebra

ISSN: 0021-8693

Year of publication: 2006

Volume: 303

Issue: 1

Pages: 1-29

Type: Article

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

More publications in: Journal of Algebra

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Abstract

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.