Recognition: unknown
Polynomial realizations of some trialgebras
classification
🧮 math.CO
keywords
compositionsseveralalgebrasbasescombinatorialdescribehopfinfinitely
read the original abstract
We realize several combinatorial Hopf algebras based on set compositions, plane trees and segmented compositions in terms of noncommutative polynomials in infinitely many variables. For each of them, we describe a trialgebra structure, an internal product, and several bases.
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