从Leibniz超代数到Lie-Yamaguti超代数

摘要

In this paper, we study the construction of Lie-Yamaguti superalgebras. By us-ing left Leibniz superalgebras, we give the construction of left Leibniz superalgbebras, then give the construction of Lie-Yamaguti superalgebras from left Leibniz superalgebras. So we gain the construction of Lie-Yamaguti superalgebras, which generalizes the construction of Lie-Yamaguti algebras in the situation of superalgebras.%本文研究了Lie-Yamaguti超代数的构造.利用左Leibniz超代数,先给出左Leibniz超代数的构造方法, 再给出用左Leibniz超代数构造Lie-Yamaguti超代数的方法, 获得了Lie-Yamaguti超代数的构造方法.将Leibniz代数和Lie-Yamaguti代数的构造推广到超代数的情形.