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Stokes phenomenon and quantum supergroup $U_q(\mathfrak{g...
[Submitted on 31 May 2026] · 2026-06-02 · via math updates on arXiv.org

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Abstract: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 $U_q(\mathfrak{gl}(m|n))$.

Submission history

From: Qiao Li [view email]
[v1] Sun, 31 May 2026 04:15:34 UTC (43 KB)