
School of Mathematics and Statistics
Andrew Mathas
University of Sydney
The representation type of Hecke algebras of type B
Friday 22nd June, 121pm,
Carslaw 159.
An algebra A has finite representation type if there
are only a finite number of isomorphism classes of indecomposable
Amodules; otherwise, A has infinite
representation type. Almost all algebras have infinite
representation type; however, determining the representation type of a
given algebra is a difficult problem.
In 1992 Katsuhiro Uno determined the representation type of the
IwahoriHecke algebras of type A. Building on his work Susumu Ariki
and I have now classified the representation type of the IwahoriHecke
algebras of type B. In this talk I will give a survey of the theory
from the representation type of algebras and discuss my results with
Ariki, culminating with a beautiful combinatorial construction that we
used.
