Bases of minimal vectors in lattices, III

Abstract

We prove that all Euclidean lattices of dimension $n\le 9$ which are generated by their minimal vectors, also possess a basis of minimal vectors. By providing a new counterexample, we show that this is not the case for all dimensions $n\ge 10$.

16 pages, contains minor changes suggested by referee

References in corpus (1)

• On classifying Minkowskian sublattices

Cited by in corpus (2)

• Chiral Four-Dimensional Heterotic Covariant Lattices
• Lattices of finite abelian groups