Division composition algebras through their derivation algebras
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Universidad de La Rioja
info
ISSN: 0021-8693
Année de publication: 2006
Volumen: 303
Número: 1
Pages: 1-29
Type: Article
D'autres publications dans: Journal of Algebra
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.