Pfaffian-type Sugawara operators

A. I. Molev


We show that the Pfaffian of a generator matrix for the affine Kac-Moody algebra \(\hat o_{2n}\) is a Segal-Sugawara vector. Together with our earlier construction involving the symmetrizer in the Brauer algebra, this gives a complete set of Segal-Sugawara vectors in type \(D\).

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Friday, August 19, 2011