A multivariate "inv" hook formula for forests
Combinatorics
2011-07-19 v1
Abstract
Bjoerner and Wachs provided two q-generalizations of Knuth's hook formula counting linear extensions of forests: one involving the major index statistic, and one involving the inversion number statistic. We prove a multivariate generalization of their inversion number result, motivated by specializations related to the modular invariant theory of finite general linear groups.
Cite
@article{arxiv.1107.3508,
title = {A multivariate "inv" hook formula for forests},
author = {Florent Hivert and Victor Reiner},
journal= {arXiv preprint arXiv:1107.3508},
year = {2011}
}