A Rational-Function Identity Related to the Murnaghan-Nakayama Formula for the Characters of Sn

@inproceedings{2003ARI,
  title={A Rational-Function Identity Related to the Murnaghan-Nakayama Formula for the Characters of Sn},
  author={},
  year={2003}
}
  • Published 2003
The Murnaghan-Nakayama formula for the characters of Sn 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 Mobius 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. 
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