2011/07/18 by Florent Hivert, Hivert, Florent, Victor Reiner +1
Computer Science · Mathematics · #05A10 #05A15 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1107.3508
openalex publication_date 2011/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.