Fusion Procedure for Cyclotomic Hecke Algebras
Representation Theory
2014-04-03 v2 Quantum Algebra
Abstract
A complete system of primitive pairwise orthogonal idempotents for cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux. This function is a product of two terms, one of which depends only on the shape of the multi-tableau and is proportional to the inverse of the corresponding Schur element.
Cite
@article{arxiv.1301.4237,
title = {Fusion Procedure for Cyclotomic Hecke Algebras},
author = {Oleg V. Ogievetsky and Loïc Poulain d'Andecy},
journal= {arXiv preprint arXiv:1301.4237},
year = {2014}
}