PRODUCTS OF CLASS-SUMS OF THE SYMMETRICAL GROUP - GENERALIZING THE RECURRENCE RELATIONS

The formulation of a combinatorial theory of the structure of the clas s-algebra of the symmetric group is pursued. Recurrence relations for reduced class-coefficients involving imbedded cycles are presented. It is pointed out that for bridging cycles one can obtain elimination ru les that involve symmetrization over sets of reduced class-coefficient s with common cycle-structures but inequivalent index distributions. C onsequently, some of these reduced class-coefficients remain individua lly inaccessible. (C) 1993 John Wiley & Sons, Inc.