# Algebra Seminar

### 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 $q$.