2 papers
math.CO2023
Two associative operads of packed words
Samuele Giraudo, Yannic Vargas
The associative operad is a central structure in operad theory, defined on the linear span of the set of permutations. We build two analogs of the associative operad on the linear…
math.CO2023
Schröder trees, antipode formulas and non-commutative probability
Adrian Celestino, Yannic Vargas
We obtain a cancellation-free formula, represented in terms of Schröder trees, for the antipode in the double tensor Hopf algebra introduced by Ebrahimi-Fard and Patras. We apply t…