Dynkin label ($[{\lambda }^1,\dots ,{\lambda }^r]$)

The Dynkin labels of a weight $\lambda$ are its simple-coroot coordinates ${\lambda }^i=⟨\lambda ,{\alpha }_i^{\vee }⟩$. Thus $\lambda ={\sum }_i{\lambda }^i{\omega }_i$ in the basis of fundamental weights.