Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes
Rekha Biswal, Travis Scrimshaw·2019-02-03·via math.CO updates on arXiv.org
We show that the Kirillov--Reshetikhin crystal $B^{r,s}$ exists when $r$ is a node such that the Kirillov--Reshetikhin module $W^{r,s}$ has a multiplicity free classical decomposition.