Geodesic
Superization and \((q,t)\)-specialization in combinatorial Hopf algebras
The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2
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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 Björner-Wachs $q$-hook-length formulas for binary trees, and similar formulas for plane trees.
DOI : 10.37236/87
Classification : 05E05, 05C05, 16T30
Mots-clés : symmetric functions, superization process 
@article{10_37236_87,
     author = {Jean-Christophe Novelli and Jean-Yves Thibon},
     title = {Superization and \((q,t)\)-specialization in combinatorial {Hopf} algebras},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {2},
     doi = {10.37236/87},
     zbl = {1230.05281},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/87/}
}
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Jean-Christophe Novelli; Jean-Yves Thibon. Superization and \((q,t)\)-specialization in combinatorial Hopf algebras. The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2. doi: 10.37236/87

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