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<p>We prove a bijection between the branching models of Kwon and Sundaram, very similar to a bijection 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 <i>flagged hives</i>.</p>

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The branching models of Kwon and Sundaram via flagged hives

  • 期刊论文

  • 发表日期：

    2025年7月15日

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  • V. Sathish Kumar,
  • Jacinta Torres

摘要

We prove a bijection between the branching models of Kwon and Sundaram, very similar to a bijection 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.