PreprintCasimir elements from the BrauerSchurWeyl dualityN. Iorgov, A. I. Molev and E. RagoucyAbstractWe 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 HarishChandra isomorphism and thus show that they (together with the Pfaffiantype 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.
