The branching models of Kwon and Sundaram via flagged hives

2024/12/27 by Kumar, V. Sathish, Torres, Jacinta · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2412.19721

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 obtain a new branching model in terms of flagged hives.

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