Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866910972759769088 |
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| author | Bossinger, Lara Torres, Jacinta |
| author_facet | Bossinger, Lara Torres, Jacinta |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22127 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions Bossinger, Lara Torres, Jacinta Representation Theory Combinatorics 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. |
| title | Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2505.22127 |