| ID | 68614 |
| FullText URL | |
| Author |
Ohmoto, Toyokazu
Department of Mathematics, Faculty of Science, Okayama University
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| Abstract | An alternating sign matrix (ASM for short) is a square matrix which consists of 0, 1 and −1. In this paper, we characterize an ASM by showing a bijection between alternating sign matrix and six vertex model, and a bijection between six vertex model and height function.
In order to show these bijections, we define a triplet (ai,j , ci,j , ri,j) for each entry of an ASM. We also define a track for each index of height function, and state more properties of height function.
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| Keywords | Alternating sign matrix
six vertex model
height function
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| Note | Mathematics Subject Classification. Primary 05A19; Secondary 05A05, 05E10.
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| Published Date | 2025-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume67
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 101
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| End Page | 131
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2025 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol67/iss1/6
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