Geodesic
Operads of finite posets
Frédéric Fauvet1 ; Loïc Foissy2 ; Dominique Manchon3
1IRMA, Université de Strasbourg
2Université du Littoral Côte d'Opale
3LMBP - CNRS Université Clermont-Auvergne
The electronic journal of combinatorics, Tome 25 (2018) no. 1
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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.
DOI : 10.37236/6498
Classification : 06A11, 05E05, 16T30
Mots-clés : partial orders, finite posets, Hopf algebras, posets, operads

Frédéric Fauvet  1   ; Loïc Foissy  2   ; Dominique Manchon  3

1 IRMA, Université de Strasbourg
2 Université du Littoral Côte d'Opale
3 LMBP - CNRS Université Clermont-Auvergne 
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     author = {Fr\'ed\'eric Fauvet and Lo{\"\i}c Foissy and Dominique Manchon},
     title = {Operads of finite posets},
     journal = {The electronic journal of combinatorics},
     year = {2018},
     volume = {25},
     number = {1},
     doi = {10.37236/6498},
     zbl = {1391.06003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6498/}
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Frédéric Fauvet; Loïc Foissy; Dominique Manchon. Operads of finite posets. The electronic journal of combinatorics, Tome 25 (2018) no. 1. doi: 10.37236/6498

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