Chapter

Asymptotic Combinatorics with Applications to Mathematical Physics

Volume 1815 of the series Lecture Notes in Mathematics pp 185-200

Date:

Characters of symmetric groups and free cumulants

  • Philippe BianeAffiliated withCNRS Département de Mathématiques et Applications, École Normale Supérieure

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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.