Applications of Mathematical physics of triple systems

这些描述如下。我们的研究包含在非结合代数，（数学Rev 17）。最近，我们正在研究三重系李超代数的构造问题。并给出了三重系统的一个表征，Jordan超代数，三重系统的一个Peirce分解。另一方面，给出了三重积可以用更简单的二元积表示的三重系统的例子。这些包括一些乔丹三重体系，以及一些弗罗伊登塔尔-坎特三重体系。还考虑了复合三重系统，即具有二次型的三重系统。

These is described as follows.Our research is contained in nonassociative algebras, (Math Rev 17 ).Recently, we are studying about A construction of Lie superalgebras from triple systems.And give a characterization to triple systems, Jordan superalgebras, a Peirce decomposition of triple systems.On the other hand, Examples of triple systems whose triple product can be expressed in Terms a simpler binary product are reviewed. These include some Jordan triple system, As well as some Freudenthal-Kantor triple systems.Composition triple systems, that is triple systems endowed with a quadratic form are Considered too.