Operad of Posets 101: The Wixarika Posets
Keywords:
operad, enumerative combinatorics, posetAbstract
We study objects whose definition is linked to partial orders. An algebra over the operad of posets is a set whose endomorphisms contain the endomorphisms of posets. Notable examples of such algebras include the zeta values, order polytopes, and shuffle series. The language of operads provides us with tools to better understand the combinatorics of these objects.
In these notes we describe a non-trivial example of a suboperad “The Wixarika posets”, alongside its associated algebras. This example is rich enough to showcase the particularities of the field, without delving into technicalities.
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Copyright (c) 2026 José Antonio Arciniega-Nevárez, Marko Berghoff, Eric Rubiel Dolores Cuenca
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