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arxiv: 0803.1816 · v1 · pith:4FMNWFEYnew · submitted 2008-03-12 · 🧮 math.CO · math.RA

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

classification 🧮 math.CO math.RA
keywords algebrasanalogscombinatorialformulashopfsuperizationtreesbases
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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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