Mathematics – Combinatorics
Scientific paper
2011-07-18
Mathematics
Combinatorics
Scientific paper
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.
Hivert Florent
Reiner Victor
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