A class of indecomposable representations of U-q(sl(n)) is considered for q
, an even root of unity (q(h) = -1) exhibiting a similar structure as (heig
ht h) indecomposable lowest weight Kac-Moody modules associated with chiral
conformal field theory. In particular, U-q(sl(n)) counterparts of the Bern
ard-Felder BRS operators are constructed for n = 2, 3. For n = 2 a pair of
dual d(2)(h) = h-dimensional U-q(sl(2)) modules gives rise to a 2h-dimensio
nal indecomposable representation including those studied earlier in the co
ntext of tenser-product expansions of irreducible representations. For n =
3 the interplay between the Poincare-Birkhoff-Witt and (Lusztig) canonical
bases is exploited in the study of d(3)(h) = h(h+1)(2h+1)/6-dimensional ind
ecomposable modules and of the corresponding intertwiners.