Tensor products of nonassociative cyclic algebras

被引：8
|
作者：
Pumpluen, S. [1 ]
机构：
[1] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, England
来源：
JOURNAL OF ALGEBRA | 2016年 / 451卷
关键词：
Cyclic algebra; Nonassociative cyclic algebra; Nonassociative quaternion algebra; Tensor product; Division algebra; DIVISION;
D O I：
10.1016/j.jalgebra.2015.12.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the tensor product of an associative and a nonessociative cyclic algebra. The condition for the tensor product to be a division algebra equals the classical one for the tensor product of two associative cyclic algebras by Albert or Jacobson, if the base field contains a suitable root of unity. Stronger conditions are obtained in special cases. Applications to space time block coding are discussed. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：145 / 165
页数：21
相关论文
共 50 条
12345