root lattice

If $R\subset E$ is a root system, and $E$ a Euclidean vector space, then the root lattice ${\mathrm{\Lambda }}_R$ 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
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