Perfect Lattices in Euclidean Spaces by Jacques Martinet
English | PDF | 2003 | 535 Pages | ISBN : 3540442367 | 42.8 MB
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.