Geodesic
A rational-function identity related to the Murnaghan-Nakayama formula for the characters of $S\sb n$
Journal of Algebraic Combinatorics, Tome 1 (1992) no. 3, pp. 235-255.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The Murnaghan-Nakayama formula for the characters of $S _{n}$ is derived from Young's seminormal representation, by a direct combinatorial argument. The main idea is a rational function identity which when stated in a more general form involves Möbius functions of posets whose Hasse diagrams have a planar embedding. These ideas are also used to give an elementary exposition of the main properties of Young's seminormal representations.
Keywords: symmetric group, representation, character, Young tableau, Möbius function 
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     title = {A rational-function identity related to the {Murnaghan-Nakayama} formula for the characters of $S\sb n$},
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Greene, Curtis. A rational-function identity related to the Murnaghan-Nakayama formula for the characters of $S\sb n$. Journal of Algebraic Combinatorics, Tome 1 (1992) no. 3, pp. 235-255. http://geodesic.mathdoc.fr/item/JAC_1992__1_3_a3/