On Sundaram's full bijection

15 Dec 2019 · Torres Jacinta ·

We highlight refinement of a bijection given by Sheila Sundaram in her PhD thesis. The framework allows for comparison to a late conjecture of Naito-Sagaki. We give an injection of the set of dominant paths for this model into the corresponding set of Littlewood-Richardson Sundaram tableaux, which is not surjective. We relate this to the refinement of the aforementioned bijection.