  Lusztig's theory of PBW bases gives a way to realize the infinity crystal for
any simple complex Lie algebra where the underlying set consists of Kostant
partitions. In fact, there are many different such realizations, one for each
reduced expression for the longest element of the Weyl group. There is an
algorithm to calculate the actions of the crystal operators, but it can be
quite complicated. For ADE types, we give conditions on the reduced expression
which ensure that the corresponding crystal operators are given by simple
combinatorial bracketing rules. We then give at least one reduced expression
satisfying our conditions in every type except $E_8$, and discuss the resulting
combinatorics. Finally, we describe the relationship with more standard
tableaux combinatorics in types A and D.
