Representations of A-type Hecke algebras
Quantum Algebra
2009-12-21 v1 Representation Theory
Abstract
We review some facts about the representation theory of the Hecke algebra. We adapt for the Hecke algebra case the approach of Okounkov and Vershik which was developed for the representation theory of symmetric groups. We justify an explicit construction of the idempotents in the Hecke algebra in terms of Jucys-Murphy elements. Ocneanu's traces for these idempotents (which can be interpreted as q-dimensions of corresponding irreducible representations of quantum linear groups) are presented.
Keywords
Cite
@article{arxiv.0912.3701,
title = {Representations of A-type Hecke algebras},
author = {A. P. Isaev and O. Ogievetsky},
journal= {arXiv preprint arXiv:0912.3701},
year = {2009}
}
Comments
11 pages, Proceedings of International Workshop "Supersymmetries and Quantum Symmetries", Dubna, 2006