root lattice

If RE is a root systemMathworldPlanetmath, and E a Euclidean vector space, then the root latticeMathworldPlanetmath ΛR of R is the subset of E generated by R as an abelian groupMathworldPlanetmath. In fact, this group is free on the simple roots, and is thus a full sublattice of E.

Title root lattice
Canonical name RootLattice
Date of creation 2013-03-22 13:11:54
Last modified on 2013-03-22 13:11:54
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 4
Author bwebste (988)
Entry type Definition
Classification msc 17B20