Scasimir operator, Scentre and Representations of U_q(osp(1|2))
Abstract
Description
A bosonic operator of U_q(osp(1|2)) that anticommutes with the fermionic generators appears to be useful to describe the relations in the centre of U_q(osp(1|2)) for q a root of unity (in the unrestricted specialisation). As in the classical case, it also simplifies the classification of finite dimensional irreducible representations.
LaTeX2e, 12 pages. References added and important typos corrected. To appear in Lett. Math. Phys. Also available at http://lapphp0.in2p3.fr/preplapp/psth/ENSLAPP591.ps.gz
LaTeX2e, 12 pages. References added and important typos corrected. To appear in Lett. Math. Phys. Also available at http://lapphp0.in2p3.fr/preplapp/psth/ENSLAPP591.ps.gz