On Chari-Loktev bases for local Weyl modules in type A

We then state a conjecture about the “stability”, i.e., compatibility in the long range, of Chari-Loktev bases with respect to inclusions of local Weyl modules. In order to state the conjecture, we establish a certain bijection between colored partitions and POPs, which may be of interest in itself. The stability conjecture has been proved in [6] in the rank one case.