%0 Journal Article
%T Hooks generate the representation ring of the symmetric group
%A Ivan Marin
%J Mathematics
%D 2011
%I arXiv
%X We prove that the representation ring of the symmetric group on $n$ letters is generated by the exterior powers of its natural $(n-1)$-dimensional representation. The proof we give illustrates a strikingly simple formula due to Y. Dvir. We provide an application and investigate a possible generalization of this result to some other reflection groups.
%U http://arxiv.org/abs/1112.3127v1