Signed Mahonian polynomials for classical Weyl groups

2004/04/16 by Riccardo Biagioli, Biagioli, Riccardo · 1 citation
Mathematics · #05A15 #05E15 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A15 #msc:05E15

paper · pdf · doi:10.48550/arxiv.math/0404300

14 pages

arxiv created 2004/04/16 · arxiv updated 2009/12/01

Abstract

The generating functions of the major index and of the flag-major index, with each of the one-dimensional characters over the symmetric and hyperoctahedral group, respectively, have simple product formulas. In this paper, we give a factorial-type formula for the generating function of the D-major index with sign over the Weyl groups of type D. This completes a picture which is now known for all the classical Weyl groups.

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• Cyclotomic Euler-Mahonian polynomials

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