title: An algorithm for the arithmetic classification of multilattices.
abstract: A procedure for the construction and the classification of monoatomic multilattices in arbitrary dimension is developed. The algorithm allows one to determine the location of the points of all monoatomic multilattices with a given symmetry, or to determine whether two assigned multilattices are arithmetically equivalent. This approach is based on ideas from integral matrix theory, in particular the reduction to the Smith normal form, and can be coded to provide a classification software package.
authors.affiliation: Department of Mathematics, York Center for Complex Systems Analysis, The University of York, Heslington, England, UK. giuliana.indelicato@york.ac.uk
authors.forename: Giuliana
authors.initials: G
authors.lastname: Indelicato