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arXiv · 1706.06540

On Hom-Lie superbialgebras

Mohamed Fadous·Sami Mabrouk·Abdenacer Makhlouf
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Abstract

The purpose of this paper is to generalize to $\mathbb{Z}_2$-graded case the study of Hom-Lie bialgebras which were discussed first by D. Yau, then by C. Bai and Y. Sheng. We provide different ways for constructing Hom-Lie superbialgebras. Also we define Matched pairs, Manin supertriples and discuss their relationships. Moreover, we study coboundary and triangular Hom-Lie bialgebras, as well as infinitesimal deformations of the cobracket.

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BibTeXRIS

Mohamed Fadous, Sami Mabrouk, Abdenacer Makhlouf. 2017-06-10. On Hom-Lie superbialgebras. https://arxiv.org/abs/1706.06540

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