低维Tortken超代数的分类与Tortken超代数的一些性质

Some Properties of Tortken Superalgebras and Classification of Low Dimensional Tortken Superalgebras

该文给出了Tortken超代数的概念,详细讨论了在A_1≠{0}时实数域上二维Tortken超代数的分类,当A_1={0}时,给出了二维超代数成为Tortken超代数的一个充要条件.最后讨论了Tortken超代数的一些性质,得到了Tortken超代数上的一个四次的等式.

In this paper the authors give the definition of Tortken superalgebra first, then they classfy the 2-dimensional Tortken superMgebra while A1 ≠ {0}; they give an equivalence for a 2-dimensional superalgebra to be tortken while A1 = {0}; they also discuss some properties on Tortken superalgebras and get an identity with degree 4 on Tortken suDeralgebra.