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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.19490 |
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| _version_ | 1866913051212513280 |
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| author | Cao, Bintao Huang, Ye |
| author_facet | Cao, Bintao Huang, Ye |
| contents | We construct a one-to-one correspondence between the Verma basis vectors of a finite dimensional irreducible representation $L(λ)$ of the symplectic Lie algebra $\mathfrak{sp}_4$ and the Kashiwara-Nakashima tableaux of $\mathfrak{sp}_4$ with shape $λ$ naturally. We also give a proof of the linear independence of the Verma vector system directly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19490 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Verma Bases and Kashiwara-Nakashima Tableaux of $\mathfrak{sp}_4$ Cao, Bintao Huang, Ye Representation Theory Quantum Algebra We construct a one-to-one correspondence between the Verma basis vectors of a finite dimensional irreducible representation $L(λ)$ of the symplectic Lie algebra $\mathfrak{sp}_4$ and the Kashiwara-Nakashima tableaux of $\mathfrak{sp}_4$ with shape $λ$ naturally. We also give a proof of the linear independence of the Verma vector system directly. |
| title | Verma Bases and Kashiwara-Nakashima Tableaux of $\mathfrak{sp}_4$ |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2604.19490 |