On Trees and Characters
- Cite this article as:
- Frumkin, A., James, G. & Roichman, Y. Journal of Algebraic Combinatorics (2003) 17: 323. doi:10.1023/A:1025052922664
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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.