Signed Mahonians

Ron M Adin; Ira M Gessel; Yuval Roichman

doi:10.1016/j.jcta.2004.07.006

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Journal article

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Signed Mahonians

Ron M Adin, Ira M Gessel and Yuval Roichman

Journal of combinatorial theory. Series A, Vol.109(1), pp.25-43

2005

DOI: https://doi.org/10.1016/j.jcta.2004.07.006

Abstract

Flag major index

Major index

Permutation statistics

Signed generating function

A classical result of MacMahon gives a simple product formula for the generating function of major index over the symmetric group. A similar factorial-type product formula for the generating function of major index together with sign was given by Gessel and Simion. Several extensions are given in this paper, including a recurrence formula, a specialization at roots of unity and type B analogues.

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Title: Signed Mahonians
Creators: Ron M Adin - Department of Mathematics and Statistics, Bar-Ilan University, Ramat-Gan 52900, Israel
Ira M Gessel - Brandeis University, Department of Mathematics
Yuval Roichman - Department of Mathematics and Statistics, Bar-Ilan University, Ramat-Gan 52900, Israel
Publication Details: Journal of combinatorial theory. Series A, Vol.109(1), pp.25-43
Publisher: Elsevier Inc
Identifiers: 9924086514301921
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article

Signed Mahonians

Abstract

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