On classifying Minkowskian sublattices

Wolfgang Keller, Jacques Martinet, Achill Schürmann
2011 Mathematics of Computation  
Let Λ be a lattice in an n-dimensional Euclidean space E and let Λ' be a Minkowskian sublattice of Λ, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of Λ. We extend the classification of possible /d-codes of the quotients Λ/Λ' to dimension 9, where d is the annihilator of Λ/Λ'.
doi:10.1090/s0025-5718-2011-02528-7 fatcat:eb4t26qd5rafhlutl2byj4xsqe