On the Existence of Similar Sublattices
Partial answers are given to two questions. When does a lattice $\Lambda $ contain a sublattice ${\Lambda }'$ of index $N$ that is geometrically similar to $\Lambda $ ? When is the sublattice “clean”, in the sense that the boundaries of the Voronoi cells for ${\Lambda }'$ do not intersect...
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| Veröffentlicht in: | Canadian journal of mathematics 1999-12, Vol.51 (6), p.1300-1306 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Partial answers are given to two questions. When does a lattice
$\Lambda $
contain a sublattice
${\Lambda }'$
of index
$N$
that is geometrically similar to
$\Lambda $
? When is the sublattice “clean”, in the sense that the boundaries of the Voronoi cells for
${\Lambda }'$
do not intersect
$\Lambda $
? |
|---|---|
| ISSN: | 0008-414X 1496-4279 |
| DOI: | 10.4153/CJM-1999-059-5 |