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arXiv · 0804.4214

On the idempotents of Hecke algebras

A. P. Isaev·A. I. Molev·A. F. Os'kin
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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.

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A. P. Isaev, A. I. Molev, A. F. Os'kin. 2008-04-26. On the idempotents of Hecke algebras. https://doi.org/10.1007/s11005-008-0254-7

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