| ID | 68614 |
| フルテキストURL | |
| 著者 |
Ohmoto, Toyokazu
Department of Mathematics, Faculty of Science, Okayama University
|
| 抄録 | 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.
|
| キーワード | Alternating sign matrix
six vertex model
height function
|
| 備考 | Mathematics Subject Classification. Primary 05A19; Secondary 05A05, 05E10.
|
| 発行日 | 2025-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 67巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 101
|
| 終了ページ | 131
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
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| 著作権者 | Copyright ©2025 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
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| 査読 |
有り
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| Submission Path | mjou/vol67/iss1/6
|
