Weighted counting of inversions on alternating sign matrices
Combinatorics
2019-11-21 v3
Abstract
We extend the author's formula (2011) of weighted counting of inversions on permutations to the one on alternating sign matrices. The proof is based on the sequential construction of alternating sign matrices from the unit matrix recently shown by Brualdi-Schroeder and the author (both 2017) independently.
Keywords
Cite
@article{arxiv.1904.02265,
title = {Weighted counting of inversions on alternating sign matrices},
author = {Masato Kobayashi},
journal= {arXiv preprint arXiv:1904.02265},
year = {2019}
}
Comments
19 pages