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arXiv · 1710.05232

Curved O-operator systems

Tianshui Ma·Abdenacer Makhlouf·Sergei Silvestrov
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Abstract

In this paper, we introduce the notion of curved $\mathcal{O}$-operator systems as a generalization of T. Brzezi\'{n}ski's (curved) Rota-Baxter systems, and then investigate their relations with $\mathcal{O}$-operator systems, (tri)dendriform systems, pre-Lie algebras, associative Yang-Baxter pairs and quasitriangular covariant bialgebras.

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Tianshui Ma, Abdenacer Makhlouf, Sergei Silvestrov. 2017-10-14. Curved O-operator systems. https://arxiv.org/abs/1710.05232

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