Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866918533884018688 |
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| author | Li, Qiao Wang, Zikang Xu, Xiaomeng |
| author_facet | Li, Qiao Wang, Zikang Xu, Xiaomeng |
| contents | In this paper we study the Stokes phenomenon of the quantum confluent hypergeometric supersystem, certain meromorphic linear system of ordinary differential equation with a second order pole, associated to the Lie superalgebra $\mathfrak{gl}_{m|n}$. We prove that its Stokes supermatrices satisfy the Yang-Baxter equation, and thus give rise to the quantum supergroup $U_q(\mathfrak{gl}(m|n))$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00993 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$ Li, Qiao Wang, Zikang Xu, Xiaomeng Quantum Algebra In this paper we study the Stokes phenomenon of the quantum confluent hypergeometric supersystem, certain meromorphic linear system of ordinary differential equation with a second order pole, associated to the Lie superalgebra $\mathfrak{gl}_{m|n}$. We prove that its Stokes supermatrices satisfy the Yang-Baxter equation, and thus give rise to the quantum supergroup $U_q(\mathfrak{gl}(m|n))$. |
| title | Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$ |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2606.00993 |