University of Sydney Algebra Seminar

Alex Molev (University of Sydney)

Friday 15th May, 12.05-12.55pm, Carslaw 375

Higher Sugawara operators for gl(n)

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.