One construction of even unimodular lattices (Q1080508)
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scientific article; zbMATH DE number 3966353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One construction of even unimodular lattices |
scientific article; zbMATH DE number 3966353 |
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One construction of even unimodular lattices (English)
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1986
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Given any Lie algebra of type \(A_{p-1}\), where p is an odd prime, a set U of \((p-1)/2+(p-1)[p/4]\) even unimodular indecomposable lattices, most of them have no roots, is constructed. For \(p=5\), the famous 24- dimensional Leech lattice appears in this way.
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even unimodular indecomposable lattices
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24-dimensional Leech lattice
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0.856158971786499
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0.7730875611305237
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0.7714675664901733
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0.7697548270225525
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