Letters in Mathematical Physics

, Volume 85, Issue 1, pp 79–90

On the Idempotents of Hecke Algebras



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.

Mathematics Subject Classification (2000)

20C08 81R50 


Hecke algebra fusion procedure Yang–Baxter equation 


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Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussia
  2. 2.School of Mathematics and StatisticsUniversity of SydneySydneyAustralia

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