|
| 摘要: |
| 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. |
| 关键词: Lie-Yamaguiti超代数 (左) Leibniz超代数 Akivis超代数 李超三系 构造 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:Supported by the NSFC (11471090). |
|
| FROM LEIBNIZ SUPERALGEBRAS TO LIE-YAMAGUTI SUPERALGEBRAS |
|
TANG Xin-xin,ZHANG Qing-cheng,WANG Chun-yue
|
| Abstract: |
| In this paper, we study the construction of Lie-Yamaguti superalgebras. By using 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. |
| Key words: Lie-Yamaguiti superlagebras (left) Leibniz superlagebras Akivis superalgebras Lie supertriple systems construction |
