Dorey's rule for quantum affine algebras of types F_4^{(1)} and G_2^{(1)}
Let (i,x)(i,x)(i,x), (j,y)(j,y)(j,y), and (k,z)(k,z)(k,z) belong to I×k×I\times\mathbf{k}^{\times}I×k×. For X^=F4,G2\widehat{X}=F_4,G_2X=F4,G2, consider the quantum affine algebra Uq′(X^(1))U_q'(\widehat{X}^{(1)})Uq′(X(1)), its fundamental…