An algorithm for the evaluation of products of arbitrary conjugacy class-sums in the symmetric group is conjectured. This algorithm generalizes a procedure presented sometime ago, which deals with products in which at least one of the Ε½ class-sums involved consists of a single cycle and an appropria
Products of class operators of the symmetric group
β Scribed by Jacob Katriel
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 415 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0020-7608
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π SIMILAR VOLUMES
An algorithm for the evaluation of the structure constants in the class algebra of the symmetric group has recently been considered. The product of the class wΕ½ .x sum p that consists of a cycle of length p and n y p fixed points, with an arbitrary n class sum in S , was found to be expressible in t
Progress in the formulation of a procedure for the combinatorial evaluation of the product of a single-cycle and an arbitrary class sum in the symmetric group algebra is presented. The procedure consists of a ''global conjecture'' concerning wΕ½ .x w x the representation of the product p ΠΈ ) in terms
The class algebra of the symmetric group plays an important role in the study of systems of identical particles. Recent progress in an ongoing effort to develop an algorithm for the combinatorial evaluation of the corresponding structure constants is presented. A connection is established with a clo