%0 Journal Article %T Generalised Burnside Rings, G-categories and Module Categories %A Paul Gunnells %A Andrew Rose %A Dmitriy Rumynin %J Mathematics %D 2011 %I arXiv %X This note describes an application of the theory of generalised Burnside rings to algebraic representation theory. Tables of marks are given explicitly for the groups $S_4$ and $S_5$ which are of particular interest in the context of reductive algebraic groups. As an application, the base sets for the nilpotent element $F_4 (a_3)$ are computed. %U http://arxiv.org/abs/1110.4722v2