Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions
Representation Theory
2025-05-29 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2505.22127,
title = {Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions},
author = {Lara Bossinger and Jacinta Torres},
journal= {arXiv preprint arXiv:2505.22127},
year = {2025}
}
Comments
12 pages, comments very welcome!