Abstract
Wavefunctions of bosons each with angular momentum I and F-spin 1/2 are classified according to the group chain U(2N) contains/implies (U(N) contains/implies O(N) contains/implies O(3))*SU(2). The boson number, seniority, reduced F-spin, total angular momentum, and total F-spin quantum numbers are used to label the wavefunctions. The corresponding coefficients of fractional percentage (CFP) are factorized into F-spin and angular momentum parts. The F-spin parts are calculated by an analytical formula and the angular momentum parts are calculated by recursion technique. The isoscalar factors of U(2N) contains/implies U(N) contains/implies O(N) and the F-spin part of the CFP for the cases F= Fmax and F=Fmax-1 are given explicitly.
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