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On classifying Minkowskian sublattices
release_wedn747n2jcvhopthkkd5gxdey
by
Wolfgang Keller,
Jacques Martinet,
Achill Schürmann (with an
appendix by Mathieu Dutour Sikirić)
Released
as a article
.
2010
Abstract
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'.
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0904.3110v2
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