par Quesne, Christiane 
Référence Journal of Physics A: Mathematical and General, 23, 6, page (847-862), 011
Publication Publié, 1990
Référence Journal of Physics A: Mathematical and General, 23, 6, page (847-862), 011
Publication Publié, 1990
Article révisé par les pairs
| Résumé : | Positive discrete series irreducible representations of the semidirect sum Lie algebras wsp(2N,R)=w(N)+sp(2N,R) are given in wsp(2N,R) contains/implies sp(2N,R) contains/implies u(N) bases. The branching rule for the reduction of a wsp (2N,R) irreducible representation into a direct sum of multiplicity-free sp(2N,R) irreducible representations is accounted for by the explicit construction of a wsp(2N,R) contains/implies sp(2N,R) contains/implies u(N) basis of vector-valued holomorphic functions. |
