University of Sydney
School of Mathematics and Statistics
University of NSW
The modular representation theory of finite abelian groups.
Friday 5th February, 12-1pm, Carslaw 375.
This talk applies the Belitskiy recursion process as presented by
Vladimir Sergeichuk to the representation theory of algebras over
finite fields. In particular it is shown that if $p$ is a fixed
prime, $n$ is a fixed positive integer and $G$ is a fixed abelian
$p$-group, the number $\alpha(q)$ of absolute ly indecomposable
representations of $G$ over the field of $q$ elements, with $q$
denoting a variable power of $p$, is a polynomial function of $q$.