Quantum Sugawara operators in type A
Abstract
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.
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