Signed mahonians on some trees and parabolic quotients
Combinatorics
2012-04-20 v2
Abstract
We study the distribution of the major index with sign on some parabolic quotients of the symmetric group, extending and generalizing simultaneously results Gessel-Simion and Adin-Gessel-Roichman, and on some special trees that we call rakes. We further consider and compute the distribution of the flag-major index on some parabolic quotients of wreath products and other related groups. All these distributions turn out to have very simple factorization formulas.
Keywords
Cite
@article{arxiv.1103.4807,
title = {Signed mahonians on some trees and parabolic quotients},
author = {Fabrizio Caselli},
journal= {arXiv preprint arXiv:1103.4807},
year = {2012}
}
Comments
12 pages