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arXiv · 0904.3110

On classifying Minkowskian sublattices

Wolfgang Keller·Jacques Martinet·Achill Schürmann
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Abstract

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 $\Lambda/\Lambda'$.

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Wolfgang Keller, Jacques Martinet, Achill Schürmann. 2009-04-20. On classifying Minkowskian sublattices. https://doi.org/10.1090/s0025-5718-2011-02528-7

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