1. In some mathematical usage, a lattice is a discrete subgroup of Rn or Cn. A simple example is the subgroup Zn. A more complicated example is the [Leech lattice]?, which is a subgroup of R24. See also [Minkowski's Theorem]? |
1. In some mathematical usage, a lattice is a discrete subgroup of Rn or Cn. Every lattice can be generated from a basis for the underlying vector space by considering all linear combinations with integral coefficients. A simple example of a lattice in Rn is the subgroup Zn. A more complicated example is the [Leech lattice]?, which is a subgroup of R24. See also Minkowski's theorem. |