
School of Mathematics and Statistics
Peter Donovan
University of NSW
The modular representation theory of finite abelian groups.
Friday 5th February, 121pm, 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 $q$.
