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

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

2008-03-12

arxiv.org/abs/0803.1816v1

Mathematics

Combinatorics

30 pages

Scientific paper

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.

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