Products of Class‐Sums of the Symmetric Group: Elimination of Two‐Index Cycles
Jacob Katriel · Israel Journal of Chemistry · 1991
Abstract The present status of the efforts to develop a closed‐form expression for the product of arbitrary class‐sums in the symmetric group is critically reviewed. The relevant data base is extended by determining the full [(7)]N ·[(1)11(2)11 …]n product. The extended data base is used to formulate a conjectured recurrence relation for reduced class coefficients of the general form C〈(r1 + r2)A·(r1 + r2 + … + r1)B〉 in terms of class coefficients in which r1 and r2 are eliminated.