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

**Molev, A ***(Sydney)*

Friday 27 March 2009, 09:00-10:00

Seminar Room 1, Newton Institute

#### Abstract

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.

#### Presentation

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