Division composition algebras through their derivation algebras
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Universidad de La Rioja
info
ISSN: 0021-8693
Year of publication: 2006
Volume: 303
Issue: 1
Pages: 1-29
Type: Article
More publications in: Journal of Algebra
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.