Tables of Clebsch-Gordan, Racah and Subduction Coefficients of Su(N) Groups

The following sections are included:

• Preface

• Contents

As we know, several methods are available for calculating the Clebsch-Gordan (CG) coefficients of the SU(n) group in the Gel’fand basis. They fall mainly into the following two categories. One is the unitary group approach (for (SU(3): De-63, Mc-64, He-65, Dr-73a, Dr-73b, Su-80, Bi-82; for SU(4): Ha-76; for SU(n), Mo-62, Ba-63), and the other is the permutation group approach based on the duality between the unitary group and the permutation group (Ch-78, Ni-83)…

This volume contains three types of tables: the SU(n) CG and Racah coefficients, and the SU(m + n)↓SU(m)× SU(n) subduction coefficients, referred to as CGC, RAC and SDC tables, respectively. All the entries are the square values of the coefficients with an asterisk (for CGC tables) or a minus sign (for RAC and SDC tables) denoting a negative coefficient, and blank a null one. For the CGC and SDC tables, the common denominator in each row is placed at the first column under the heading “N”…

The following sections are included:

• Tables of the SU(n) Clebsch-Gordan Coefficients

• Tables of the SU(n) Racah Coefficients for(f₁f₂ff₃;f₁₂f₂₃)

• Tables of the SU(m+n)↓ SU(m) × SU(n) Subduction Coefficients

The following sections are included:

• References