The Eulerian distribution on the involutions of the hyperoctahedral group is unimodal
Combinatorics
2023-09-25 v1
Abstract
The Eulerian distribution on the involutions of the symmetric group is unimodal, as shown by Guo and Zeng. In this paper we prove that the Eulerian distribution on the involutions of the hyperoctahedral group, when viewed as a colored permutation group, is unimodal in a similar way and we compute its generating function, using signed quasisymmetric functions.
Keywords
Cite
@article{arxiv.1801.07163,
title = {The Eulerian distribution on the involutions of the hyperoctahedral group is unimodal},
author = {Vassilis-Dionyssis P. Moustakas},
journal= {arXiv preprint arXiv:1801.07163},
year = {2023}
}
Comments
11 pages, zero figures