Séminaire Lotharingien de Combinatoire, 93B.117 (2025), 12 pp.

V. Sathish Kumar and Jacinta Torres

The Branching Models of Kwon and Sundaram via Flagged Hives

Abstract. 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 introduce a new branching model in terms of flagged hives.


Received: November 15, 2024. Accepted: February 15, 2025. Final version: April 1, 2025.

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