Classification of lattices with \(Z_ m\) symmetry (Q2639903)

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Classification of lattices with \(Z_ m\) symmetry
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    Classification of lattices with \(Z_ m\) symmetry (English)
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    1989
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    Euclidean n-dimensional lattices with \({\mathbb{Z}}_ m\)-symmetries are considered as ideals of cyclotomic fields. In this way their classification can be obtained for \(n\leq 22\), since the class number is one for the respective cyclotomic fields. Tables for \(n=6\) are included. Applications to orbifold models are indicated.
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    quadratic lattices
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    cyclotomic fields
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    orbifold models
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