External Littelmann paths for crystals of type A
For the simple modules of the cyclotomic Hecke algebras of type $A$ and rank $e$, there are two distinct representations, by $e$-regular multipartitions or by Littelmann paths, both of which are currently constructed recursively, using programs which begin to slow down at current computer speeds at around degree $n=20$. In this paper we investigate a class of the Littelmann paths for which there is a direct translation between the Littelmann path and its multipartition, without any need for recursive calculation of either.