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arXiv · 1604.08149

Operads of finite posets

Frédéric Fauvet·Loïc Foissy·Dominique Manchon
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Abstract

We describe four natural operad structures on the vector space generated by isomorphism classes of finite posets. The three last ones are set-theoretical and can be seen as a simplified version of the first, the same way the NAP operad behaves with respect to the pre-Lie operad. Moreover the two first ones are isomorphic.

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Frédéric Fauvet, Loïc Foissy, Dominique Manchon. 2016-09-29. Operads of finite posets. https://arxiv.org/abs/1604.08149

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