Weighted counting of inversions on alternating sign matrices

Published 3 Apr 2019 in math.CO | (1904.02265v3)

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.

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Masato Kobayashi

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