Weighted Counting of Inversions on Alternating Sign Matrices |
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Authors: | Kobayashi Masato |
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Institution: | 1.Department of Engineering, Kanagawa University, 3-27-1 Rokkaku-bashi, Yokohama, 221-8686, Japan ; |
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Abstract: | We generalize the author’s formula (2011) on weighted counting of inversions on permutations to one on alternating sign matrices. The proof is based on the sequential construction of alternating sign matrices from the unit matrix which essentially follows from the earlier work of Lascoux-Schützenberger (1996). |
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