A polynomial realization of the Hopf algebra of uniform block permutations

Rémi Maurice (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We investigate the combinatorial Hopf algebra based on uniform block permutations and we realize this algebra in terms of noncommutative polynomials in infinitely many bi-letters.

Mots clés: combinatorial Hopf algebras; uniform block permutations

Domaines: Combinatoire [math.CO]; Mathématique discrète [cs.DM]

Rémi Maurice. A polynomial realization of the Hopf algebra of uniform block permutations. 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) , Jul 2012, Nagoya, Japan. pp.191-202, ⟨10.46298/dmtcs.3031⟩. ⟨hal-01044879⟩