lattice in n


Definition.

A lattice in Rn is an n-dimensional additive free groupMathworldPlanetmath over Z which generates Rn over R.

Example: The following is an example of a lattice 2, generated by w1=(1,2),w2=(4,1).

={αw1+βw2α,β}
Title lattice in n
Canonical name LatticeInmathbbRn
Date of creation 2013-03-22 13:52:14
Last modified on 2013-03-22 13:52:14
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 7
Author alozano (2414)
Entry type Definition
Classification msc 11H06
Synonym lattice
Synonym grid
Related topic MinkowskisTheorem
Related topic PicksTheorem
Related topic ProductOfPosets
Defines lattice in n