On classifying Minkowskian sublattices
| Autor: | Keller, Wolfgang, Martinet, Jacques, Schürmann, Achill |
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| Rok vydání: | 2009 |
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| Zdroj: | Mathematics of Computation, 81 (2012), 1063-1092 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/S0025-5718-2011-02528-7 |
| Popis: | Let $\Lambda$ be a lattice in an $n$-dimensional Euclidean space $E$ and let $\Lambda'$ be a Minkowskian sublattice of $\Lambda$, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of $\Lambda$. We extend the classification of possible $\Z/d\Z$-codes of the quotients $\Lambda/\Lambda'$ to dimension~$9$, where $d\Z$ is the annihilator of $\Lambda/\Lambda'$. Comment: 34 pages; incorporated referee comments |
| Databáze: | arXiv |
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