# root lattice

If $R\subset E$ is a root system, and $E$ a Euclidean vector space, then the root lattice $\Lambda_{R}$ of $R$ is the subset of $E$ generated by $R$ as an abelian group. In fact, this group is free on the simple roots, and is thus a full sublattice of $E$.

Title root lattice RootLattice 2013-03-22 13:11:54 2013-03-22 13:11:54 bwebste (988) bwebste (988) 4 bwebste (988) Definition msc 17B20