A multivariate "inv" hook formula for forests

Details A multivariate "inv" hook formula for forests A multivariate "inv" hook formula for forests

2011-07-18

arxiv.org/abs/1107.3508v1

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.

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