Simple modules of Ariki-Koike algebras

Andrew Mathas

Keywords

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

Status

Proc. Pure Symp. Math., 63, 1998.
MR99d:20018

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.

The paper is available as gzipped dvi (33 kB) and postscript (72 kB) files.

Alternatively, you can request a copy by e-mailing me.

Andrew Mathas
5th December 1996.