Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras
Representation Theory
2011-10-11 v1 Rings and Algebras
Abstract
The paper uses the cellular basis of the (semi-simple) degenerate cyclotomic Hecke algebras to investigate these algebras exhaustively. As a consequence, we describe explicitly the "Young's seminormal form" and a orthogonal bases for Specht modules and determine explicitly the closed formula for the natural bilinear form on Specht modules and Schur elements for the degenerate cyclotomic Hekce algebras.
Keywords
Cite
@article{arxiv.1110.1735,
title = {Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras},
author = {Deke Zhao},
journal= {arXiv preprint arXiv:1110.1735},
year = {2011}
}
Comments
Comments most welcome! arXiv admin note: substantial text overlap with arXiv:math/0108164 by a different author