Cohomology of Leibniz Triple Systems with derivations
Cohomology of Leibniz Triple Systems with derivations
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DOI：
10.1016/j.geomphys.2022.104594
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发表时间：
2022-06
影响因子：
1.5
通讯作者：
Xueru Wu;Yao Ma;B. Sun;Liangyun Chen
中科院分区：
文献类型：
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作者：
Xueru Wu;Yao Ma;B. Sun;Liangyun Chen
In this paper, we introduce the notion of a LeibtsDer pair, ie, a Leibniz triple system with a derivation. We define a representation of a LeibtsDer pair and the corresponding cohomology theory. We prove that a LeibtsDer pair is rigid if the H D 3 (L, L)= 0, and a deformation of order n is extensible if its obstruction class (Ob (μ t, D t) i 3, Ob (μ t, D t) 1)=∂ i 3 (μ n+ 1, D n+ 1)(i= 1, 2). We also show that the central extensions of a LeibtsDer pair can be classified by the third cohomology group.
