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Casimir elements from the Brauer-Schur-Weyl duality

Le : 25/05/2012 14h15
Par : N. Iorgov, A. I. Molev and E. Ragoucy
Lieu : I 103
Lien web :
Résumé : 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 show that they are generators of the subalgebra of invariants of the corresponding universal enveloping algebra under the adjoint action of the associated Lie group.