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arxiv: 0804.4214 · v1 · submitted 2008-04-26 · 🧮 math.QA · math.RT

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On the idempotents of Hecke algebras

A.P. Isaev , A.I. Molev , A.F. Os'kin
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keywords idempotentsalgebrasheckeprocedureassociatedcertainconstructionevaluated
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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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