Polynomial realizations of some trialgebras

By Jean-Christophe Novelli, Jean-Yves Thibon. 2006

86 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/067ff94bb7359fc84e42eb12de1e01376ae08e56

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In Algebra and Number Theory

In Discrete Mathematics and Combinatorics

In Geometry and Topology

Citations in the corpus

Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (2010, background): “The algebra Π is actively studied as part of the theory of combinatorial Hopf algebras [3,10,12,13,23,34].”