On Sundaram's full bijection
Combinatorics
2019-12-17 v2 Representation Theory
Abstract
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.
Cite
@article{arxiv.1712.07011,
title = {On Sundaram's full bijection},
author = {Jacinta Torres},
journal= {arXiv preprint arXiv:1712.07011},
year = {2019}
}
Comments
There is a mistake in the statement of Theorem 15