On the idempotents of Hecke algebras
arXiv:0804.4214 · doi:10.1007/s11005-008-0254-7
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.
11 pages