摘要
本文主要介绍了Hom-约当三系的表示与扩张。首先,给出了Hom-约当三系表示的定义、判断表示的方法以及表示的例子,同时给出Hom-约当三系的表示的对偶是表示所满足的条件。其次,找到Hom-约当三系扩张的两种方法,其一是利用一个特殊的线性函数而构造出的扩张,其二是Hom-约当三系的T*-扩张。
This paper mainly studies the representation and extension of Hom-Jordan triple system. Firstly, we give the definition of representation of Hom-Jordan triple system, the method of judging the representation and an example of representation. At the same time, the condition that the dual of Hom-Jordan triple system is the representation is given. Secondly, two methods of extension of Hom-Jordan triple system are found. One is to construct an extension by a special linear function, and the other is the T*-extension of Hom-Jordan triple system.
出处
《应用数学进展》
2020年第7期1092-1102,共11页
Advances in Applied Mathematics
