Wednesday, October 3, 2012

1210.0571 (Peter Zeiner)

Well-rounded sublattices and coincidence site lattices    [PDF]

Peter Zeiner
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.
View original: http://arxiv.org/abs/1210.0571

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