On Trees and Characters

  • Authors:

  • Avital Frumkin;Gordon James;Yuval Roichman

  • Affiliations:

  • Sackler School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel. frumkin@math.tau.ac.il;Department of Mathematics, Imperial College of Science, Technology and Medicine, 180 Queen's Gate, London SW7 2BZ, England. g.james@ic.ac.uk;Department of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan 52900, Israel. yuvalr@math.biu.ac.il

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2003

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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.