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Products of arbitrary class-sums in the symmetric group

✍ Scribed by Jacob Katriel

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 186 KB
Volume: 70
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1998)70:3<429::aid-qua2>3.0.co;2-w

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✦ Synopsis

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 Ž class-sums involved consists of a single cycle and an appropriate number of fixed . points . Let the support size of a conjugacy class be the number of indices that are not fixed points. The algorithm proposed implies that the coefficient of the class-sum C in the product of the class-sums A and B is given in terms of a well-defined enumeration problem within the symmetric group S , where p is the smallest of the support sizes of p

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