Title: Tensor powers of small representations of quantum groups.

Abstract:
Let $V$ dentote the $n$-dimensional natural module for $SL_n(\C)$. Then
all finite dimensional irreducible representations of $SL_n(\C)$ are 
obtained as summands of the tensor powers $V^{\otimes r}$, \ r \geq 0$.
If we replace $\C$ by a field of prime characteristic the same is true
once we replace the word 'irreducible' by 'indecomposable tilting'.

In this talk I shall describe some similar phenomena for quantum 
groups and also discuss what happens when $V$ is replaced by other 
modules.