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.
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Frumkin, A., James, G. & Roichman, Y. On Trees and Characters. Journal of Algebraic Combinatorics 17, 323–334 (2003). https://doi.org/10.1023/A:1025052922664
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DOI: https://doi.org/10.1023/A:1025052922664