Composition algebras with large derivation algebras
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1
Universidad de La Rioja
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2
Universidad de Zaragoza
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ISSN: 0021-8693
Año de publicación: 1997
Volumen: 190
Número: 2
Páginas: 372-404
Tipo: Artículo
Otras publicaciones en: Journal of Algebra
Resumen
The finite dimensional flexible composition algebras include the Hurwitz algebras (composition algebras with unit element), but also other interesting classes of algebras: the para-Hurwitz and the Okubo algebras. The above mentioned algebras present many symmetries, and this is reflected in their large derivation algebras. In the present paper we study the opposite question: What can be said about the composition algebras if we have some information about their derivation algebras? Our main result is the classification of all the composition algebras with such large derivation algebras. © 1997 Academic Press.