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Pfaffian-type Sugawara operators

Published 27 Jul 2011 in math.RT, math-ph, and math.MP | (1107.5417v1)

Abstract: 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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Authors (1)

  1. A. I. Molev 

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