Geodesic
On trees and characters
Journal of Algebraic Combinatorics, Tome 17 (2003) no. 3, pp. 323-334.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: symmetric groups, central characters 
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Frumkin, Avital; James, Gordon; Roichman, Yuval. On trees and characters. Journal of Algebraic Combinatorics, Tome 17 (2003) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/JAC_2003__17_3_a1/