Weighted-inversion statistics and their symmetry groups
type: Item
instance of: scholarly article
title: Weighted-inversion statistics and their symmetry groups
zbMATH Open document ID: 0980.05002
author: Sheldon L. Degenhardt
author: Stephen C. Milne
published in: Journal of Combinatorial Theory. Series A
publication date: 2002-03-04T00:00:00Z
full work available at URL: http://rave.ohiolink.edu/etdc/view
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20B30
Mathematics Subject Classification ID: 05E99
zbMATH DE Number: 1443249
zbMATH Keywords: weighted-inversion statistics
zbMATH Keywords: multipermutations
zbMATH Keywords: involutions
zbMATH Keywords: null space
zbMATH Keywords: rank
zbMATH Keywords: core group
zbMATH Keywords: dihedral group
zbMATH Keywords: permutations
zbMATH Keywords: inversion patterns
zbMATH Keywords: column space
MaRDI profile type: Publication
OpenAlex ID: W2075506830
cites work: q-hook length formulas for forests
cites work: Permutation statistics and linear extensions of posets
cites work: \(q\)-Bernoulli numbers and polynomials
cites work: Two combinatorial statistics on Dyck paths
cites work: On the Netto Inversion Number of a Sequence
cites work: Graphical major indices. II
cites work: Recursive statistics on words
cites work: Permutation statistics and partitions
cites work: A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
cites work: The q-Stirling numbers of first and second kinds
cites work: Q3253828
cites work: Q3998721
cites work: Q4044675
cites work: Partioning algorithms for finite sets
cites work: Weighted inversion numbers, restricted growth functions, and standard Young tableaux
cites work: Q4335013
cites work: Q4057549
cites work: Mahonian statistics on labeled forests
cites work: The inversion enumerator for labeled trees
cites work: Restricted growth functions and incidence relations of the lattice of partitions of an n-set
cites work: A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials
cites work: Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers
cites work: The r-major index
cites work: Signed permutation statistics
cites work: Signed permutation statistics and cycle type
cites work: Upper binomial posets and signed permutation statistics
cites work: A maj statistic for set partitions
cites work: On the structure of the lattice of noncrossing partitions
cites work: Combinatorial statistics on non-crossing partitions
cites work: Octabasic Laguerre polynomials and permutation statistics
cites work: Q3748279
cites work: Q4236280
cites work: \(p,q\)-Stirling numbers and set partition statistics
cites work: Interpolating set partition statistics
cites work: Ranking Algorithms for Lists of Partitions
DOI: 10.1006/JCTA.1999.3019
description: scientific article; zbMATH DE number 1443249