On the idempotents of Hecke algebras

Details On the idempotents of Hecke algebras On the idempotents of Hecke algebras

2008-04-26

arxiv.org/abs/0804.4214v1

Lett. Math. Phys. 85 (2008), 79-90

Mathematics

Quantum Algebra

11 pages

Scientific paper

10.1007/s11005-008-0254-7

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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