1206.4186 (N. Iorgov et al.)

Casimir elements from the Brauer-Schur-Weyl duality    [PDF]

N. Iorgov, A. I. Molev, E. Ragoucy

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.

View original: http://arxiv.org/abs/1206.4186