Cartan-Weyl basis (source code)

= Cartan-Weyl basis
{c}
{wiki=Cartan–Weyl_basis}

A Cartan-Weyl basis consists of a basis of a <Cartan subalgebra> together with root vectors $E_\alpha$. It makes weight raising and lowering explicit through $[H,E_\alpha]=\alpha(H)E_\alpha$.