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.
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After the seminar we will be taking the speaker to lunch.
See the Algebra Seminar web page for information about other seminars in the series.
James East jamese@maths.usyd.edu.au