On the idempotents of Hecke algebras

A. P. Isaev, A. I. Molev and A. F. Os'kin

Abstract

We give a new construction of primitive idempotents of the Hecke algebras associated with the symmetric groups. The idempotents are found as evaluated products of certain rational functions thus providing a new version of the fusion procedure for the Hecke algebras. We show that the normalization factors which occur in the procedure are related to the Ocneanu-Markov trace of the idempotents.