Superization and (q,t)-specialization in combinatorial Hopf 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.1816
- arXiv:
- arXiv:0803.1816
- Bibcode:
- 2008arXiv0803.1816N
- Keywords:
-
- Mathematics - Combinatorics;
- Mathematics - Rings and Algebras;
- 05E05;
- 16W30
- E-Print:
- 30 pages