Superization and \((q,t)\)-specialization in combinatorial Hopf algebras (Q2380323)

Summary: 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 Björner-Wachs \(q\)-hook-length formulas for binary trees, and similar formulas for plane trees.