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Class-sum products in the symmetric group: Minimally-connected reduced class coefficients

✍ Scribed by J. Katriel

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 652 KB
Volume: 26
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(97)00204-5

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✦ Synopsis

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 closed form expression for a certain act of structure constants, obtained by Goupil and Bbdard, and by Goulden and Jackson. This allows the evaluation of a corresponding act of reduced coefficients that, in turn, have considerably wider applicability. Some outstanding open problems are presented.

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