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

页码：145 / 165

页数：21

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