Superization and (q,t)-specialization in combinatorial Hopf algebras
Combinatorics
2013-02-12 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.0803.1816,
title = {Superization and (q,t)-specialization in combinatorial Hopf algebras},
author = {Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:0803.1816},
year = {2013}
}
Comments
30 pages