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arXiv · 0806.0724

On lattices of maximal index two

Anne-Marie Bergé
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Abstract

The maximal index of a Euclidean lattice L of dimension n is the maximal index of the sub-lattices of L spanned by n independent minimal vectors of L. In this paper, we prove that a perfect lattice of maximal index two not provided by a cross-section has dimension at most 5.

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Anne-Marie Bergé. 2008-06-04. On lattices of maximal index two. https://arxiv.org/abs/0806.0724

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