Casimir elements from the Brauer-Schur-Weyl duality
Representation Theory
2013-05-15 v1 Mathematical Physics
math.MP
Abstract
We consider Casimir elements for the orthogonal and symplectic Lie algebras constructed with the use of the Brauer algebra. We calculate the images of these elements under the Harish-Chandra isomorphism and thus show that they (together with the Pfaffian-type element in the even orthogonal case) are algebraically independent generators of the centers of the corresponding universal enveloping algebras.
Cite
@article{arxiv.1206.4186,
title = {Casimir elements from the Brauer-Schur-Weyl duality},
author = {N. Iorgov and A. I. Molev and E. Ragoucy},
journal= {arXiv preprint arXiv:1206.4186},
year = {2013}
}
Comments
19 pages