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

Close Sorry, an error occurred while adding your rating. C is a group and {n + mi, for all n,m, in Z} is a subgroup and you take the quotient group .. More neat applications of theta functions. The paper [2] contains a classification of the Eisenstein lattices for , , and . Sloane, Sphere Packings, Lattices and Groups, vol. Saturday, 27 April 2013 at 10:35. Sphere packings, lattices and groups. I have been working with issues somewhat tangential to the monster group, and more with the modular forms which are related to the lattice or sphere packing of E_8 and the Leech lattice ?_{24}. Close Your rating was successfully added. Yesterday I Googled trying to find some of the material in that book, but found nothing on-line. 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. Conway andSloane, Sphere Packings, Lattices and Groups, Springer, 1998. 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. 290, Springer, New York, NY, USA, 3rd edition, 1999.