Wednesday, June 20, 2012

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:

No comments:

Post a Comment