Sphere Packings, Lattices and Groups John Horton Conway, Neil J. A. Sloane
Publisher: Springer

More neat applications of theta functions. C is a group and {n + mi, for all n,m, in Z} is a subgroup and you take the quotient group .. Mimic jammed disordered sphere packings. Now one can see that a torus can be made into a group as follows: take the complex plane and set equal to zero all points which are linear integral combinations of two vectors with different directions, say 1 and i. The paper [2] contains a classification of the Eisenstein lattices for , , and . €The study of continuous families of lattice is not done,. Conway andSloane, Sphere Packings, Lattices and Groups, Springer, 1998. Using the sphere periodic packings achieved via an fcc lattice or one of its stacking variants 2 , the .. Today I found myself reading the preface to the classic Conway-Sloane monograph Sphere Packings, Lattices and Groups. Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften). Sphere Packings, Lattices and Groups. Eisenstein lattices (or the more general theta lattices introduced in [1]) are of interest in the theory of modular forms, as their theta series is a modular form of weight for the full Hermitian modular group with respect to (cf. 290, Springer, New York, NY, USA, 3rd edition, 1999. Download Sphere Packings, Lattices and Groups. It looks at the 24 dimensional Leech lattice in numerous ways. Sloane, Sphere Packings, Lattices and Groups, vol. One of the most information packed 600+ page tomes in the library here is Sphere Packings, Lattices and Groups by J. Buy Compendium of Continuous Lattices by G.