Signed excedance enumeration in the hyperoctahedral group
type: Item
instance of: scholarly article
title: Signed excedance enumeration in the hyperoctahedral group
zbMATH Open document ID: 1408.05008
author: Sivaramakrishnan Sivasubramanian
published in: The Electronic Journal of Combinatorics
publication date: 2014-09-04T00:00:00Z
full work available at URL: v21i2p10
review text: Summary: Several signed excedance-like statistics have nice formulae or generating functions when summed over the symmetric group and over its subset of derangements. We give counterparts of some of these results when we sum over the hyperoctahedral group and its subset of derangements. Our results motivate us to define and derive attractive bivariate formulae which generalise some of these results for the symmetric group.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 20B30
zbMATH DE Number: 6340177
zbMATH Keywords: signed excedance
zbMATH Keywords: permutation group
zbMATH Keywords: hyperoctahedral group
MaRDI profile type: Publication
cites work: \(q\)-Eulerian polynomials arising from Coxeter groups
cites work: Derangement polynomials and excedances of type \(B\)
cites work: Binomial coefficients and anti-exceedances of even permutations: A combinatorial proof
cites work: Exceedingly deranging!
cites work: Signed excedance enumeration via determinants
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description: scientific article; zbMATH DE number 6340177