Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers
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arXiv
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| Format: | Preprint |
| Published: |
2007
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| _version_ | 1866910000156246016 |
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| author | Abdukhalikov, Kanat Scharlau, Rudolf |
| author_facet | Abdukhalikov, Kanat Scharlau, Rudolf |
| contents | All indecomposable unimodular hermitian lattices in dimensions 14 and 15 over the ring of integers in $\mathbb{Q}(\sqrt{-3})$ are determined. Precisely one lattice in dimension 14 and two lattices in dimension 15 have minimal norm 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0710_3664 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers Abdukhalikov, Kanat Scharlau, Rudolf Number Theory Group Theory 11H06, 11H56 (Primary) 11E39, 11H71, 11F11 (Secondary) All indecomposable unimodular hermitian lattices in dimensions 14 and 15 over the ring of integers in $\mathbb{Q}(\sqrt{-3})$ are determined. Precisely one lattice in dimension 14 and two lattices in dimension 15 have minimal norm 3. |
| title | Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers |
| topic | Number Theory Group Theory 11H06, 11H56 (Primary) 11E39, 11H71, 11F11 (Secondary) |
| url | https://arxiv.org/abs/0710.3664 |