par Quesne, Christiane 
Référence Journal of Physics A: Mathematical and General, 23, 23, page (5411-5439), 018
Publication Publié, 1990
Référence Journal of Physics A: Mathematical and General, 23, 23, page (5411-5439), 018
Publication Publié, 1990
Article révisé par les pairs
| Résumé : | The techniques, presented in the first paper of the present series, for determining the conditions for the existence of star or grade star positive discrete series irreducible representations of osp(P/2N,R) (P=2M or 2M+1), and the branching rule for their decomposition into a direct sum of so(P)(+)sp(2N,R) irreducible representations, as well as for constructing explicit matrix realizations, are illustrated with a few selected examples. The latter include the most general irreps of osp(1/2N,2), osp(2/2,R), osp(3/2,R), osp(4/2,R), osp(2/4,R), and the most degenerate irreps of osp(2/2N,R). In addition, all the information necessary for dealing with other cases amenable to a full analytic treatment is provided. |
