A one-parameter deformation of the Farahat-Higman algebra
Résumé
We show, by introducing an appropriate basis, that a one- parameter family of Hopf algebras introduced by Foissy [L. Foissy, Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations, Adv. Math. 218 (1) (2008) 136-162] interpolates between the Faà di Bruno algebra and the Farahat-Higman algebra. Its structure constants in this basis are deformations of the top connection coefficients, for which we obtain analogues of Macdonald's formulas.
Domaines
Combinatoire [math.CO]
Origine : Fichiers produits par l'(les) auteur(s)
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