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math.CO2026
Hopf Algebras of B-Diagrams and Boson Normal Ordering: Exploring the Dual Structures
Ali Chouria, Jean-Gabriel Luque
We consider the Hopf algebra of B-diagrams as an algebra projecting onto the Heisenberg algebra and designed to encode the combinatorics of the bosonic normal-ordering problem. In…
math.CO2020
On recursively defined combinatorial classes and labelled trees
Ali Chouria, Vlad-Florin Drǎgoi, Jean-Gabriel Luque
We define and prove isomorphisms between three combinatorial classes involving labeled trees. We also give an alternative proof by means of generating functions.
math.CO2013
Word symmetric functions and the Redfield-Pólya
Jean-Gabriel Luque, Ali Chouria, Jean-Paul Bultel +1
We give noncommutative versions of the Redfield-Pólya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.