Pfaffian-type Sugawara operators
classification
🧮 math.RT
math-phmath.MP
keywords
algebrasegal--sugawaraaffinebrauercompleteconstructionearliergenerator
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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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