Superization and (q,t)-specialization in combinatorial Hopf algebras - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue The Electronic Journal of Combinatorics Année : 2009

Superization and (q,t)-specialization in combinatorial Hopf algebras

Résumé

We extend a classical construction on symmetric functions, the superization process, to several combinatorial Hopf algebras, and obtain analogs of the hook-content formula for the (q,t)-specializations of various bases. Exploiting the dendriform structures yields in particular (q,t)-analogs of the Bjorner-Wachs q-hook-length formulas for binary trees, and similar formulas for plane trees.

Dates et versions

hal-00823047 , version 1 (16-05-2013)

Identifiants

Citer

Jean-Christophe Novelli, Jean-Yves Thibon. Superization and (q,t)-specialization in combinatorial Hopf algebras. The Electronic Journal of Combinatorics, 2009, 16 (2), pp.21.1-21.46. ⟨hal-00823047⟩
167 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More