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The branching models of Kwon and Sundaram via flagged hives

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arxiv 2412.19721 v1 pith:B3UB6Z2K submitted 2024-12-27 math.CO math.RT

V. Sathish Kumar , Jacinta Torres This is my paper · ORCID
classification math.COmath.RT
keywords branchingflaggedhiveskwonmodelmodelssundaramterms
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We prove a bijection between the branching models of Kwon and Sundaram, conjectured previously by Lenart-Lecouvey. To do so, we use a symmetry of Littlewood-Richardson coefficients in terms of the hive model. Along the way, we obtain a new branching model in terms of flagged hives.

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  1. Symplectic Branching through Crystals

    math.RT 2025-05 conditional novelty 6.0 of 10

    The paper constructs an explicit, elementary bijection between sp(2n)-highest weight tableaux and Sundaram's symplectic Littlewood-Richardson tableaux, giving a new proof of the Naito-Sagaki branching conjecture.

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