Simple modules of Ariki-Koike algebras

Andrew Mathas

Keywords

Ariki-Koike algebras, Iwahori-Hecke algebras, canonical bases. 

Status

Proc. Pure Symp. Math. (to appear). 

Abstract

In this note we classify the simple modules of the Ariki-Koike algebras when 
q=1 and also describe the classification for those algebras considered in 
[3,14], together with the underlying computation of the canonical bases of 
affine quantum group U. In particular, this completes the classification of 
the simple modules of the Iwahori-Hecke algebras of type B.