Cellular structures on Hecke algebras of type B
Representation Theory
2008-05-14 v3 Combinatorics
Abstract
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type . We attempt to explain the connections between Geck's cellular structures (coming from Kazhdan-Lusztig theory with unequal parameters) and Ariki's Theorem on the canonical basis of the Fock spaces.
Cite
@article{arxiv.0712.3662,
title = {Cellular structures on Hecke algebras of type B},
author = {Cédric Bonnafé and Nicolas Jacon},
journal= {arXiv preprint arXiv:0712.3662},
year = {2008}
}