Combinatorial properties of the noncommutative Faà di Bruno algebra

Jean-Paul Bultel (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We give a new combinatorial interpretation of the noncommutative Lagrange inversion formula, more precisely, of the formula of Brouder-Frabetti-Krattenthaler for the antipode of the noncommutative Faà di Bruno algebra.

Mots clés: Noncommutative symmetric functions; Combinatorial Hopf algebras; Lagrange inversion

Domaines: Combinatoire [math.CO]

Jean-Paul Bultel. Combinatorial properties of the noncommutative Faà di Bruno algebra. Journal of Algebraic Combinatorics, 2013, 38 (2), pp.243-273. ⟨10.1007/s10801-012-0402-0⟩. ⟨hal-00825713⟩