We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic R-matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in Frassek (Nuclear Phys B, 2020), Frassek and Tsymbaliuk (Commun Math Phys 392 (2):545–619, 2022), Frassek et al. (Commun Math Phys 400 (1):1–82, 2023). We further establish factorisation formulas among the presented solutions.

中文翻译：

---

正交超振荡器 Lax 矩阵

我们构建了超级振荡器类型的 Lax 矩阵，它是有理正交R矩阵的 RTT 关系的解，概括了作者之前在 Frassek (Nuclear Phys B, 2020)、Frassek 和 Tsymbaliuk (Nuclear Phys B, 2020) 中构建的正交和辛振荡器类型 Lax 矩阵（ Commun Math Phys 392 (2):545–619, 2022)，Frassek 等人。 （《公共数学物理》400 (1):1–82, 2023）。我们进一步在所提出的解决方案中建立因式分解公式。