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Characters of symmetric groups and free cumulants

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

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Biane, P. (2003). Characters of symmetric groups and free cumulants. In: Vershik, A.M., Yakubovich, Y. (eds) Asymptotic Combinatorics with Applications to Mathematical Physics. Lecture Notes in Mathematics(), vol 1815. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44890-X_8

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  • DOI: https://doi.org/10.1007/3-540-44890-X_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40312-8

  • Online ISBN: 978-3-540-44890-7

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