Type: Seminar

Distribution: World

Expiry: 6 May 2011

Auth: mathas@bari.maths.usyd.edu.au

In this talk I will explain how the representation theory of the Hecke
algebras of the complex reflection groups of type (ε,q)-separated there is an explicit algorithm
for computing the decomposition numbers of the algebras of type G(r,p,n)
from the decomposition matrices of the algebras of type G(r,1,n).
The proof of this result relies on two Morita equivalences: the first
reduces the calculation of all decomposition numbers to the case of the
. We then explicitly compute all of the
G(r,p,n)l-splittable decomposition numbers using detailed calculations
with some natural trace functions.
In proving these results, we develop a Specht module theory for these
algebras, explicitly construct their simple modules and introduce and study
analogues of the cyclotomic Schur algebras of type (ε,q)-separated.
This is joint work with Jun Hu. |