Complete enumeration of classes of perfect septenary forms (Q1210512)
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scientific article; zbMATH DE number 179547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete enumeration of classes of perfect septenary forms |
scientific article; zbMATH DE number 179547 |
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Complete enumeration of classes of perfect septenary forms (English)
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13 June 1993
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The reader will find here a detailed description of the methods and algorithms used in order to prove that there are only 33 classes of perfect septenary forms, as well as a recapitulative table of the results. He will find in particular a generalization of Voronoï's algorithm applied in depth, recursively, to the faces of the domains.
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perfect quadratic forms
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perfect lattices
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entactic lattices
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extremal lattices
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Voronoï domain
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minimal vectors
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Hermite invariant
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algorithms
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perfect septenary forms
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generalization of Voronoï's algorithm
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