Minimal vectors of pairs of dual lattices (Q1893476)
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scientific article; zbMATH DE number 770124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal vectors of pairs of dual lattices |
scientific article; zbMATH DE number 770124 |
Statements
Minimal vectors of pairs of dual lattices (English)
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22 January 1996
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The author classifies pairs of dual lattices in Euclidean \(E^n\) by their minimal vectors. This leads to a natural enlargement by duality of the usual notion of a perfect lattice, which the author calls a `perfect pair'. It is shown that in any given dimension there are only finitely many perfect pairs.
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perfect pair
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pairs of dual lattices
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minimal vectors
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perfect lattice
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0.8944792
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0.8851654
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0.87569046
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0.87153834
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