Pfaffian-type Sugawara operators
Representation Theory
2012-03-06 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1107.5417,
title = {Pfaffian-type Sugawara operators},
author = {A. I. Molev},
journal= {arXiv preprint arXiv:1107.5417},
year = {2012}
}
Comments
4 pages