A characterization of root lattices (Q1356436)
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scientific article; zbMATH DE number 1018495
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of root lattices |
scientific article; zbMATH DE number 1018495 |
Statements
A characterization of root lattices (English)
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9 July 1997
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A vector \(r\) of a lattice \(L\) is called relevant iff for every \(p\in L\setminus \{0\}\) the inequality \((p,p)> (p,r)\) holds. The authors prove that root lattices are exactly those lattices in which the set of minimal vectors equals the set of relevant vectors.
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sphere packings
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root lattices
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minimal vectors
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relevant vectors
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