On the idempotents of Hecke algebras
Quantum Algebra
2009-11-13 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.0804.4214,
title = {On the idempotents of Hecke algebras},
author = {A. P. Isaev and A. I. Molev and A. F. Os'kin},
journal= {arXiv preprint arXiv:0804.4214},
year = {2009}
}
Comments
11 pages