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Higher Sugawara operators and the classical W-algebra for gl n

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If you have a question about this talk, please contact Mustapha Amrani.

Algebraic Lie Theory

We give an explicit description of the center of the affine vertex algebra for gl n at the critical level. The results are applied to construct generators of the classical W-algebra for gl n and calculate the eigenvalues of the central elements in the Wakimoto modules at the critical level.

This talk is part of the Isaac Newton Institute Seminar Series series.

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