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arXiv · 1107.5417

Pfaffian-type Sugawara operators

A. I. Molev
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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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A. I. Molev. 2011-07-27. Pfaffian-type Sugawara operators. https://arxiv.org/abs/1107.5417

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