Geodesic
Applications of the Frobenius formulas for the characters of the symmetric group and the Hecke algebras of type A
Journal of Algebraic Combinatorics, Tome 6 (1997) no. 1, pp. 59-87.

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

Summary: We give a simple combinatorial proof of Ram's rule for computing the characters of the Hecke Algebra. We also establish a relationship between the characters of the Hecke algebra and the Kronecker product of two irreducible representations of the Symmetric Group which allows us to give new combinatorial interpretations to the Kronecker product of two Schur functions evaluated at a Schur function of hook shape or a two row shape. We also give a formula for the regular representation of the Hecke algebra.
Keywords: character, symmetric group, Hecke algebra, Kronecker product 
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     author = {Ram, Arun and Remmel, Jeffrey B.},
     title = {Applications of the {Frobenius} formulas for the characters of the symmetric group and the {Hecke} algebras of type {A}},
     journal = {Journal of Algebraic Combinatorics},
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Ram, Arun; Remmel, Jeffrey B. Applications of the Frobenius formulas for the characters of the symmetric group and the Hecke algebras of type A. Journal of Algebraic Combinatorics, Tome 6 (1997) no. 1, pp. 59-87. http://geodesic.mathdoc.fr/item/JAC_1997__6_1_a1/