Representations of Symmetric Groups and Free Probability

  • Philippe BianeAbstract
  • Published 1998

Abstract

We consider representations of symmetric groups S q for large q. We give the asymptotic behaviour of the characters when the corresponding Young diagrams, rescaled by a factor q ?1=2 , converge to some prescribed shape. This behaviour can be expressed in terms of the free cumulants of a probability measure associated with the limit shape of the diagram. We… (More)

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