## Casimir elements from the Brauer-Schur-Weyl duality

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

#### 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.

This paper is available as a pdf (144kB) file.

 Thursday, June 21, 2012