Journal of Algebraic Combinatorics

, Volume 17, Issue 3, pp 323–334 | Cite as

On Trees and Characters

  • Avital Frumkin
  • Gordon James
  • Yuval Roichman
Article

Abstract

A new family of trees, defined in term of Young diagrams, is introduced. Values of central characters of the symmetric group are represented as a weighted enumeration of such trees. The proof involves a new decomposition theorem for representations corresponding to general shapes.

symmetric groups central characters 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Avital Frumkin
    • 1
  • Gordon James
    • 2
  • Yuval Roichman
    • 2
  1. 1.Sackler School of Mathematical SciencesTel-Aviv UniversityRamat-Aviv, Tel-AvivIsrael
  2. 2.Department of MathematicsImperial College of Science, Technology and MedicineLondonEngland

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