Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization of type $C_n$
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912507946336256 |
|---|---|
| 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 |