In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space, which is one of the best models for the kissing number problem. It was discovered by John Leech (1967). It may also have been discovered (but not published) by Ernst Witt in 1940.
In mathematics, the Leechlattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space, which is one of the best models for the kissing...
any fundamental domain for the lattice be 1. The E8 lattice and the Leechlattice are two famous examples. A lattice is a free abelian group of finite...
dimensional lattice over the Eisenstein integers, called the complex Leechlattice. The automorphism group of the complex Leechlattice is the universal...
that the Leechlattice is optimal in 24 dimensions. This result built on and improved previous methods which showed that these two lattices are very close...
All the subquotients of the automorphism group of a lattice in 24 dimensions called the Leechlattice: Co1 is the quotient of the automorphism group by...
than 10 such lattices, but gives no further details. One example of a Niemeier lattice is the Leechlattice found in 1967. Niemeier lattices are usually...
are precisely twenty-four such lattices that are called the Niemeier lattices, the most important being the Leechlattice, which can be constructed using...
In dimension 24 there are 24 such lattices, called Niemeier lattices. The most important of these is the Leechlattice. One possible basis for Γ8 is given...
largest of the Conway groups, Co0, is the group of automorphisms of the Leechlattice Λ with respect to addition and inner product. It has order 8,315,553...
unimodular lattice in 15 dimensions or less — the E8 lattice. Up to dimension 24, there is only one even unimodular lattice without roots, the Leechlattice. Three...
can be used to generate a faithful construction of the 24-dimensional Leechlattice Λ24, which is primarily constructed using the Weyl vector ( 0 , 1 ,...
generation Mathieu groups, seven second generation subquotients of the Leechlattice, and eight third generation subgroups of the friendly giant. The remaining...
infinitely many generators). For the case in question, one sets L to be the Leechlattice, which has rank 24. The orbifold construction. In physical terms, this...
the plane. He investigated lattices in higher dimensions and was the first to determine the symmetry group of the Leechlattice. In knot theory, Conway formulated...
mathematics, the octonions provide an elementary derivation of the Leechlattice, and thus they are closely related to the sporadic simple groups. Applications...
describing 24 free bosons compactified on the torus induced by the Leechlattice and orbifolded by the two-element reflection group. Borcherds, Richard...
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