论文标题
$ a $ $ a $的量子sugawara运营商
Quantum Sugawara operators in type $A$
论文作者
论文摘要
我们为$ a $ a $的量子仿射代数构建了sugawara运营商。运算符与Hecke代数的原始基本群有关，并通过Young图进行参数。这概括了以前的建筑（2016），其中考虑了单列图。我们计算了Sugawara运营商的Harish-Chandra图像，并使用以$ Q $ $ Q $变形的Wakimoto模块作用的操作员的特征值来识别它们。
We construct Sugawara operators for the quantum affine algebra of type $A$ in an explicit form. The operators are associated with primitive idempotents of the Hecke algebra and parameterized by Young diagrams. This generalizes a previous construction (2016) where one-column diagrams were considered. We calculate the Harish-Chandra images of the Sugawara operators and identify them with the eigenvalues of the operators acting in the $q$-deformed Wakimoto modules.
