On Sundaram's Full Bijection
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Submission date: 20. Dec. 2017
Keywords and phrases: Combinatorics, representation theory
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We highlight a 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.