A new formula for Pfaffian-type Segal-Sugawara vector
Quantum Algebra
2013-09-10 v1 Combinatorics
Abstract
A combinatorial formula for Pfaffian for the universal enveloping algebra of the affine Kac - Moody algebra of even orthogonal Lie algebra is proved. It allows easily to compute the image of this Segal-Sugawara vector under the Harish-Chandra homomorphism and to deduce formulas for classical Pfaffian of universal enveloping algebra of the even orthogonal Lie algebra.
Cite
@article{arxiv.1309.1958,
title = {A new formula for Pfaffian-type Segal-Sugawara vector},
author = {Natasha Rozhkovskaya},
journal= {arXiv preprint arXiv:1309.1958},
year = {2013}
}
Comments
14 pages