INTEGRABLE REPRESENTATIONS OF UQ(OSP(1,2N))

The integrable representations of U-q(osp(1,2n)) are studied. The resu lt shows that there are finite dimensional simple representations whic h are not deformations of the representations of U(osp(1,2n)). A compl ete reducibility theorem is proved for the finite dimensional integrab le representations. (C) 1998 Elsevier Science B.V. All rights reserved .