Rota-Baxter Operators on pre-Lie superalgebras and beyond
Rings and Algebras
2015-12-29 v1 Mathematical Physics
math.MP
Abstract
In this paper, we study Rota-Baxter operators and super -operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and -dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras, Lie superalgebras and -dendriform superalgebras. Moreover, we provide all Rota-Baxter operators of weight zero on complex pre-Lie superalgebras of dimensions and .
Cite
@article{arxiv.1512.08043,
title = {Rota-Baxter Operators on pre-Lie superalgebras and beyond},
author = {El-Kadri Abdaoui and Sami Mabrouk and Abdenacer Makhlouf},
journal= {arXiv preprint arXiv:1512.08043},
year = {2015}
}