A one-parameter deformation of the noncommutative Lagrange inversion formula

Jean-Paul Bultel (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We give a one-parameter deformation of the noncommutative Lagrange inversion formula, more precisely, of the formula of Brouder-Frabetti-Krattenthaler for the antipode of the noncommutative Fa ́ di Bruno algebra. Namely, we obtain a closed for- a mula for the antipode of the one-parameter deformation of this Hopf algebra discovered by Foissy.

Domaines: Combinatoire [math.CO]

Jean-Paul Bultel. A one-parameter deformation of the noncommutative Lagrange inversion formula. International Journal of Algebra and Computation, 2011, pp.1395-1414. ⟨hal-00825466⟩