Quaternion algebras over elliptic curves

被引：13
|
作者：
Pumplün, S [1 ]
机构：
[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany
来源：
COMMUNICATIONS IN ALGEBRA | 1998年 / 26卷 / 12期
关键词：
D O I：
10.1080/00927879808826415
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
All composition algebras of rank 2 and 4 over elliptic curves are enumerated and partly classified, and examples of octonion algebras are constructed using the generalized Cayley-Dickson doubling process. The underlying field is assumed to be perfect, and of characteristic not two. Some applications are given.
引用
收藏
页码：4357 / 4373
页数：17
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