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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2507.21444 |
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| _version_ | 1866912507946336256 |
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| author | Alshuqayr, Manal Nakashima, Toshiki |
| author_facet | Alshuqayr, Manal Nakashima, Toshiki |
| contents | We consider a product of fundamental crystals of type $C_n$ in monomial realization, where the product means a natural product of Laurent monomials, not a tensor product. Then we shall show that the product still holds a crystal structure and describe how it is decomposed into irreducible crystals, which is, in general, different from the decomposition rule for the tensor product of the fundamental crystals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21444 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization of type $C_n$ Alshuqayr, Manal Nakashima, Toshiki Representation Theory Combinatorics We consider a product of fundamental crystals of type $C_n$ in monomial realization, where the product means a natural product of Laurent monomials, not a tensor product. Then we shall show that the product still holds a crystal structure and describe how it is decomposed into irreducible crystals, which is, in general, different from the decomposition rule for the tensor product of the fundamental crystals. |
| title | Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization of type $C_n$ |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2507.21444 |