Perfect Lattices in Euclidean Spaces


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Lattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing which, assuming some regularity, has a density. The question of estimating the highest possible density of a sphere packing in a given dimension is a fascinating and difficult problem: the answer is known only up to dimension 3. This book thus discusses a beautiful and central problem in mathematics, which involves geometry, number theory, coding theory and group theory, centering ...

Perfect Lattices in Euclidean Spaces 2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin

ISBN-13: 9783642079214


Perfect Lattices in Euclidean Spaces 2002, Springer, Berlin, Germany

ISBN-13: 9783540442363

2003 edition