Polynomial Realization of $s\ell_q(2)$ and Fusion Rules at Exceptional   Values of $q$
  Representations of the $s\ell_q(2)$ algebra are constructed in the space of polynomials of real (complex) variable for $q^N=1$. The spin addition rule based on eigenvalues of Casimir operator is illustrated on few simplest cases and conjecture for general case is formulated. 
D. Karakhanyan, Sh. Khachatryan