Pfaffian-type Sugawara operators

Details Pfaffian-type Sugawara operators Pfaffian-type Sugawara operators

2011-07-27

arxiv.org/abs/1107.5417v1

Mathematics

Representation Theory

4 pages

Scientific paper

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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