of type G(r,1,n).
Using Kac-Moody algebra techniques we first show that the number of
simple H-modules is, in a certain sense, independent of the
choice of parameters for the Hecke algebra. Next, by studying
Kashiwara's crystal graph, we show that the simple
H-modules are indexed by the set of Kleshchev
multipartitions and we give a generating function for this set.
As an application of these results we give a classification of
the number of simple modules of the affine Hecke algebras of type
A.
The paper are available in the following forms:
- TeX dvi format:
- 1998-14.dvi.gz (12kB) or
1998-14.dvi (32kB)
- PostScript:
- 1998-14.ps.gz (36kB) or
1998-14.ps (121kB)
Alternatively, you can request a copy by
e-mailing me.
Andrew Mathas
8th July 1998