Letters in Mathematical Physics

, Volume 85, Issue 1, pp 79–90

On the Idempotents of Hecke Algebras

Authors

    • Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear Research
  • A. I. Molev
    • School of Mathematics and StatisticsUniversity of Sydney
  • A. F. Os’kin
    • Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear Research
Article

DOI: 10.1007/s11005-008-0254-7

Cite this article as:
Isaev, A.P., Molev, A.I. & Os’kin, A.F. Lett Math Phys (2008) 85: 79. 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.

Mathematics Subject Classification (2000)

20C0881R50

Keywords

Hecke algebrafusion procedureYang–Baxter equation

Copyright information

© Springer 2008