4 citations · 6 across the 4 of their papers we have counts for
6 papers
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…
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.
Bell polynomials in combinatorial Hopf algebras
Ali Chouria, Jean-Gabriel Luque
We introduce partial -Bell polynomials in three combinatorial Hopf algebras. We prove a factorization formula for the generating functions which is a consequence of the Zassenha…
A combinatorial Hopf algebra for the boson normal ordering problem
Imad Eddine Bousbaa, Ali Chouria, Jean-Gabriel Luque
In the aim to understand the generalization of Stirling numbers occurring in the bosonic normal ordering problem, several combinatorial models have been proposed. In particular, Bl…
Bell polynomials in combinatorial Hopf algebras
Ammar Aboud, Jean-Paul Bultel, Ali Chouria +2
Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities, etc.…
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.