Abstrak
Abstract: "Let G [superset of] H be Lie groups, g [superset of] h their Lie algebras, and pr : g* -> h* the natural projection. For coadjoint orbits O[superscript G] [subset of] g* and O[superscript H] [subset of] h*, we denote by n(O[superscript G], O[superscript H]) the number of H-orbits in the intersection O[superscript G] [intersection of]pr[superscript -1](O[superscript H]. In the spirit of the orbit method due to Kirillov and Kostant, one expects that n(O[superscript G], O[superscript H]) coincides with the multiplicity of [tau][element of] Ĥ occurring in the restriction [pi]/[subscript H] if [pi][element of]Ĝ is 'attached' to O[superscript G] and [tau] [element of] Ĥ is 'attached' to O[superscript H]. Such a result is known for nilpotent Lie groups and certain solvable groups, however, very few attempts have been made so far for semisimple Lie groups. In this paper, we give a sufficient condition on O[superscript G] so that n(O[superscript G], O[superscript H] [