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Characters of symmetric groups and free cumulants

  • Philippe Biane
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1815)

Abstract

We investigate Kerov’s formula expressing the normalized irreducible characters of symmetric groups evaluated on a cycle, in terms of the free cumulants of the associated Young diagrams.

Keywords

Symmetric Group Cayley Graph Young Diagram Formal Power Series Group Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Philippe Biane
    • 1
  1. 1.CNRS Département de Mathématiques et ApplicationsÉcole Normale SupérieureParisFRANCE

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