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arXiv · 1512.08043

Rota-Baxter Operators on pre-Lie superalgebras and beyond

El-Kadri Abdaoui·Sami Mabrouk·Abdenacer Makhlouf
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Abstract

In this paper, we study Rota-Baxter operators and super $\mathcal{O}$-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and $L$-dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras, Lie superalgebras and $L$-dendriform superalgebras. Moreover, we provide all Rota-Baxter operators of weight zero on complex pre-Lie superalgebras of dimensions $2$ and $3$.

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El-Kadri Abdaoui, Sami Mabrouk, Abdenacer Makhlouf. 2015-12-25. Rota-Baxter Operators on pre-Lie superalgebras and beyond. https://arxiv.org/abs/1512.08043

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