Signed Mahonian polynomials for classical Weyl groups

Riccardo Biagioli

Signed Mahonian polynomials for classical Weyl groups

Combinatorics 2007-05-23 v1

Authors: Riccardo Biagioli

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.

Cite

@article{arxiv.math/0404300,
  title  = {Signed Mahonian polynomials for classical Weyl groups},
  author = {Riccardo Biagioli},
  journal= {arXiv preprint arXiv:math/0404300},
  year   = {2007}
}

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14 pages

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