Signed Mahonians
Combinatorics
2007-05-23 v1
Abstract
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 analogues.
Cite
@article{arxiv.math/0402208,
title = {Signed Mahonians},
author = {Ron M. Adin and Ira M. Gessel and Yuval Roichman},
journal= {arXiv preprint arXiv:math/0402208},
year = {2007}
}
Comments
23 pages