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Tables of one-body CFP for group chains U( mn) ⊃ U( m) × U( n) and [formula omitted]
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Tables of one-body CFP for group chains U( mn) ⊃ U( m) × U( n) and [formula omitted]

Chen Jin-Quan, Gao Mei-Juan, Shi Yi-Jin, Michel Vallieres, Da Hsuan Feng and Maria G Vallieres
Nuclear physics. A, v 419(1), pp 77-100
1984

Abstract

Tables of the one-body coefficients of fractional parentage are presented for the unitary group chain U( mn) ⊃ U( m) × U( n) and the graded unitary group chain U(mp + nq mq + np) ⊃ U( m n ) × U( p q ) with arbitrary m, n, p and q for systems having up to six particles. These coefficients are computed by using a program based on the fact that they are the isoscalar factors for the permutation group chain S( f) ⊃ S( f − 1), and thus are m and n (or m, n, p and q) independent. The S( f) ⊃ S( f − 1) isoscalar factors are calculated by the eigenfunction method. Incidently, the program also provides an efficient way for constructing the Clebsch-Gordan coefficients of the permutation group.

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