= B2 adjoint representation weight diagram
{c}
{title2=$\lambda=(1,1),\quad(\overline n_1,\overline n_2)=(2,0)$}
For simple <roots> $(1,0),(-1,1)$, <Dynkin labels> of a Euclidean weight $(x,y)$ are $(2x,-x+y)$. The highest root $(1,1)$ gives the <Adjoint representation>, of dimension ten. Its eight nonzero weights are the eight <roots> of $B_2$; the zero <weight> has multiplicity two. The nine distinct label pairs are $(2,0),(0,1),(-2,2),(2,-1),(0,0),(-2,1),(2,-2),(0,-1),(-2,0)$.
Back to article page