Classification of rank-two root systems
= Classification of rank-two root systems
Every reduced crystallographic rank-two root system is isomorphic to $A_1\times A_1$, $A_2$, $B_2$, or $G_2$. Their simple-root angles are respectively $\pi/2$, $2\pi/3$, $3\pi/4$, and $5\pi/6$.