A maj statistic for set partitions
type: Item
instance of: scholarly article
title: A maj statistic for set partitions
zbMATH Open document ID: 0728.05007
DOI: 10.1016/S0195-6698(13)80009-1
author: Bruce E. Sagan
published in: European Journal of Combinatorics
publication date: 1991-01-01T00:00:00Z
review text: The author defines the major index of a set partition and sets it into the context of existing q-counts of set partitions, that is to say, versions of the q-Stirling numbers. Bijections between the major index and existing q-statistics are given. An extension to set partitions is made for Rawlings' rmaj statistic which interpolates between the major index and the inversion number for permutations. Bivariate Stirling numbers are also examined.
Mathematics Subject Classification ID: 05A18
Mathematics Subject Classification ID: 11B73
zbMATH DE Number: 4202264
zbMATH Keywords: major index
zbMATH Keywords: set partition
zbMATH Keywords: q-counts
zbMATH Keywords: q-statistics
zbMATH Keywords: Bivariate Stirling numbers
reviewed by: David M. Bressoud
MaRDI profile type: Publication
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full work available at URL: s0195-6698(13)80009-1
OpenAlex ID: W2054949452
description: scientific article; zbMATH DE number 4202264