Titlebook: Sphere Packings, Lattices and Groups; J. H. Conway,N. J. A. Sloane Book 19881st edition Springer-Verlag New York 1988 Lattice.Lie algebra.

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Laminated Lattices,stack layers of a suitable (. − 1)-dimensional lattice Λ. as densely as possible, keeping the same minimal norm; the result is a laminated lattice Λ.. In this chapter the density of Λ.is determined for . ≤ 48, all Λ.are found for . ≤ 25, and at least one Λ.is found for 26 ≤ . ≤ 48. The unique Λ. is

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Three Lectures on Exceptional Groups,, followed by a digression on the Janko group .. of order 175560. With the exception of the Janko group material, all the structure described appears within the Mathieu group .., which is the subject of the second lecture, where .. is constructed and its subgroups described in some detail. The infor

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The Golay Codes and The Mathieu Groups,iracle Octad Generator) and the hexacode are computational tools that make it easy to perform calculations with these objects. The MINIMOG and the tetracode perform similar services for the ternary Golay code of length 12, the Steiner system .(5,6,12), and the Mathieu group ..

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J. H. Conway,N. J. A. Sloaneity of the potentials. For the dynamics, the formulation is given in term of differential measures in order to deal with the non continuity of the velocities that may occur in the solutions..This work therefore owes much to the theories and the numerical scheme developed by J. J. Moreau and M. Jean.