Canonical basic sets in type B
Representation Theory
2007-05-23 v2
Abstract
More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type . More recently, using Lusztig's a-function, Geck and Rouquier showed how to obtain parametrisations of the irreducible representations of Hecke algebras (of any finite type) in terms of so-called canonical basic sets. For certain values of the parameters in type , combinatorial descriptions of these basic sets were found by Jacon, based on work of Ariki and Foda-Leclerc-Okado-Thibon-Welsh. Here, we consider the canonical basic sets for all the remaining choices of the parameters.
Keywords
Cite
@article{arxiv.math/0601104,
title = {Canonical basic sets in type B},
author = {Meinolf Geck and Nicolas Jacon},
journal= {arXiv preprint arXiv:math/0601104},
year = {2007}
}
Comments
23 pages, to appear in J. Algebra, minor changes