On the idempotents of Hecke algebras

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.

arXiv comment11 pages

References in corpus (2)

• A mixed hook-length formula for affine Hecke algebras
• On the fusion procedure for the symmetric group

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