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arXiv · 0803.1816

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

Jean-Christophe Novelli·Jean-Yves Thibon
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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.

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Jean-Christophe Novelli, Jean-Yves Thibon. 2008-03-12. Superization and (q,t)-specialization in combinatorial Hopf algebras. https://arxiv.org/abs/0803.1816

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