Division composition algebras through their derivation algebras

JOURNAL OF ALGEBRA

卷:303

Article

Perez-Izquierdo, Jose M.

关键词: composition algebras;    division algebras;    derivation algebra;   

DOI  :  10.1016/j.jalgebra.2006.06.014

来源: Elsevier

【 摘 要 】

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. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free