Division composition algebras through their derivation algebras

被引：6
|
作者：
Perez-Izquierdo, Jose M. [1 ]
机构：
[1] Univ La Rioja, Dept Matemat & Computac, Logrono 26004, Spain
来源：
JOURNAL OF ALGEBRA | 2006年 / 303卷 / 01期
关键词：
composition algebras; division algebras; derivation algebra;
D O I：
10.1016/j.jalgebra.2006.06.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：1 / 29
页数：29
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