Fusion Procedure for Cyclotomic Hecke Algebras

[摘要] 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.

[关键词] cyclotomic Hecke algebras;fusion formula;idempotents;Young tableaux;Jucys– Murphy elements;Schur element