On classifying Minkowskian sublattices
نویسندگان
چکیده
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 Z/dZ-codes of the quotients Λ/Λ′ to dimension 9, where dZ is the annihilator of Λ/Λ′.
منابع مشابه
ar X iv : 0 90 4 . 31 10 v 2 [ m at h . N T ] 3 1 Ju l 2 01 0 ON CLASSIFYING MINKOWSKIAN SUBLATTICES
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 Z/dZ-codes of the quotients Λ/Λ to dimension 9, where dZ is the annihilator of Λ/Λ.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 81 شماره
صفحات -
تاریخ انتشار 2012