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arXiv · 2505.21738

Symplectic Branching through Crystals

Bárbara Muniz
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Abstract

We give an alternative proof of Naito--Sagaki's conjecture, which states that the restriction of $gl_{2n}(\mathbb{C})$-representations to $sp_{2n}(\mathbb{C})$ can be described in terms of crystals. Using the tableau model for crystals, we construct an explicit and self-contained bijection between their highest weight elements and Sundaram's branching model.

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Bárbara Muniz. 2025-05-27. Symplectic Branching through Crystals. https://arxiv.org/abs/2505.21738

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