Geodesic
Fusion Procedure for Cyclotomic Hecke Algebras
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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A complete system of primitive pairwise orthogonal idempotents for cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux. This function is a product of two terms, one of which depends only on the shape of the multi-tableau and is proportional to the inverse of the corresponding Schur element.
Keywords: cyclotomic Hecke algebras; fusion formula; idempotents; Young tableaux; Jucys–Murphy elements; Schur element. 
@article{SIGMA_2014_10_a38,
     author = {Oleg V. Ogievetsky and Lo{\"\i}c Poulain d'Andecy},
     title = {Fusion {Procedure} for {Cyclotomic} {Hecke} {Algebras}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2014},
     volume = {10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a38/}
}
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Oleg V. Ogievetsky; Loïc Poulain d'Andecy. Fusion Procedure for Cyclotomic Hecke Algebras. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a38/

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