
arXiv: 1604.08149
We describe four natural operad structures on the linear species 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.
Symmetric functions and generalizations, partial orders, Connections of Hopf algebras with combinatorics, Algebraic aspects of posets, operads, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], posets, 18D50, 06A11, Hopf algebras, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), finite posets
Symmetric functions and generalizations, partial orders, Connections of Hopf algebras with combinatorics, Algebraic aspects of posets, operads, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], posets, 18D50, 06A11, Hopf algebras, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), finite posets
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