AI 中文总结
研究量子仿射超代数$\mathrm{U}_q(\widehat{\mathfrak{gl}}_{M|N})$的 Sugawara 算子，通过显式形式构造该算子并计算其 Harish-Chandra 像，推广了相关量子仿射代数结果。
AI 中文摘要
我们以显式形式构造了量子仿射超代数$\mathrm{U}_q(\widehat{\mathfrak{gl}}_{M|N})$的 Sugawara 算子，推广了文献\cite{JLM}中量子仿射代数的结果。还计算了 Sugawara 算子的 Harish-Chandra 像。
英文摘要
We construct Sugawara operators for the quantum affine superalgebra $\mathrm{U}_q(\widehat{\mathfrak{gl}}_{M|N})$ in an explicit form which generalizes the results given in \cite{JLM} for the quantum affine algebras. We also calculate the Harish-Chandra images of the Sugawara operators.
