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A matrix of combinatorial numbers related to the symmetric groups

✍ Scribed by Adalbert Kerber

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 440 KB
Volume: 21
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(78)90163-2

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✦ Synopsis

A mar.rix T =z (tik) is introduced, the coefficients of which are defined by tik : = (~kl(w9L,,~" Ui(X)k, i,kEN={1,2,3,..

. , }, where a;(x) denotes the number of i cycles in the element x of the symmetric group S,,. It is shown that "lese numbers are natural numbers, that they are easy to evaluate, and that they serve very weIt An order to formulate an infinite number

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