Hz. Sun et D. Ruan, THE BRANCHING-RULES FOR UPERSET-OF-O(N)SUPERSET-OF-O(3))CIRCLE-TIMES-SU(2) AND THE HIGHEST WEIGHT STATES FOR SU(N) AND O(N), Communications in Theoretical Physics, 29(4), 1998, pp. 571-578
Simple analytical recurrent formulae of the branching rules for group
chain SU(2N) superset of (SU(N) superset of O(N) superset of O(3)) X S
U(2) are obtained. The highest weight states for the irreducible repre
sentations [2(a)1(b)] or {nS} of group SU(N) and for the irreducible r
epresentations [2(alpha)1(beta)] or (nu S) of group O(N) are construct
ed respectively.