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arXiv · 1712.07011

On Sundaram's full bijection

Jacinta Torres
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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.

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Jacinta Torres. 2019-12-15. On Sundaram's full bijection. https://arxiv.org/abs/1712.07011

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