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On the Dirichlet—Voronoi cell of unimodular lattices

✍ Scribed by Ákos G. Horváth

Publisher
Springer
Year
1996
Tongue
English
Weight
448 KB
Volume
63
Category
Article
ISSN
0046-5755

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✦ Synopsis

This paper consists of two results concerning the Dirichlet-Voronoi cell of a lattice. The first one is a geometric property of the cell of an integral unimodular lattice while the second one gives a characterization of all those lattice vectors of an arbitrary lattice whose multiples by ½ are on the boundary of the cell containing the origin. This result is a generalization of a well-known theorem of Voronoi characterizing the so-called relevants of the cell.

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