The purpose of this paper is to prove that we can inductively construct all finite-dimensional irreducible nilpotent modules of type 1 by using the Schnizer homomorphisms for quantum algebras at roots of unity of type $A_n$, $B_n$, $C_n$, $D_n$, or $G_2$.
"Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity." Tokyo J. Math. 30 (2) 351 - 371, December 2007. https://doi.org/10.3836/tjm/1202136681