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arXiv:1210.0571 [math.MG]AbstractReferencesReviewsResources

Well-rounded sublattices and coincidence site lattices

Peter Zeiner

Published 2012-10-01Version 1

A lattice is called well-rounded, if its lattice vectors of minimal length span the ambient space. We show that there are interesting connections between the existence of well-rounded sublattices and coincidence site lattices (CSLs). Furthermore, we count the number of well-rounded sublattices for several planar lattices and give their asymptotic behaviour.

Comments: 6 pages
Subjects: 20H15, 51F15, 11H50, 11H31, 11M41, 40E10
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