Operads of finite posets

Published 27 Apr 2016 in math.CO | (1604.08149v2)

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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