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Composition Algebras with Large Derivation Algebras

✍ Scribed by Alberto Elduque; José Marı́a Pérez

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
394 KB
Volume
190
Category
Article
ISSN
0021-8693

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✦ Synopsis

The finite dimensional flexible composition algebras include the Hurwitz alge-Ž . bras 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.

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