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arXiv · 2505.22127

Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions

Lara Bossinger·Jacinta Torres
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Abstract

We present n-1 different embeddings of string polytopes of type A. We characterize their compatibility with the crystal structure on the string polytopes, and formulate a conjecture describing how to obtain n-1 different atomic decompositions of the crystal with highest weight a multiple of the highest root.

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Lara Bossinger, Jacinta Torres. 2025-05-28. Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions. https://arxiv.org/abs/2505.22127

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