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ヨシノ キヨト
吉野 聖人 所属 東邦大学 理学部 情報科学科 職種 講師 |
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| 論文種別 | 原著 |
| 言語種別 | 英語 |
| 査読の有無 | 査読あり |
| 表題 | EMBEDDING THEORY OF LATTICES AND ITS APPLICATION TO 2-INTEGRABLE LATTICES |
| 掲載誌名 | 正式名：Integers |
| 掲載区分 | 国外 |
| 巻・号・頁 | 22(#A57),pp.1-20 |
| 著者・共著者 | Kiyoto Yoshino |
| 担当区分 | 筆頭著者 |
| 発行年月 | 2022/06/01 |
| 概要 | For a positive integer $s$, a lattice $L$ is said to be $s$-integrable if
$\sqrt{s}\cdot L$ is isometric to a sublattice of $\mathbb{Z}^n$ for some integer $n$. Conway and Sloane found two minimal non $2$-integrable lattices of rank $12$ and determinant $7$ in 1989. We find two more ones of rank $12$ and determinant $15$. Then we introduce a method of embedding a given lattice into a unimodular lattice, which plays a key role in proving minimality of non $2$-integrable lattices and finding candidates for non $2$-integrable lattices. |
| arXiv ID | arXiv:2104.04177 |
| ORCIDのPut Code | 145160025 |
| PermalinkURL | http://arxiv.org/abs/2104.04177v1 |
| researchmap用URL | http://arxiv.org/pdf/2104.04177v1 |