The Symbolic and cancellation-free formulae for Schur elements
Representation Theory
2013-12-16 v2 Rings and Algebras
Abstract
In this paper we give a symbolical formula and a cancellation-free formula for the Schur elements associated to the simple modules of the degenerate cyclotomic Hecke algebras. As some direct applications, we show that the Schur elements are symmetric with respect to the natural symmetric group action and are integral coefficients polynomials and we give a different proof of Ariki-Mathas-Rui's criterion on the semi-simplicity of degenerate cyclotomic Hecke algebras.
Keywords
Cite
@article{arxiv.1110.6069,
title = {The Symbolic and cancellation-free formulae for Schur elements},
author = {Deke Zhao},
journal= {arXiv preprint arXiv:1110.6069},
year = {2013}
}
Comments
To appear in Monatshefte fur Mathematik