%0 Journal Article
%T On representation categories of wreath products in non-integral rank
%A Masaki Mori
%J Mathematics
%D 2011
%I arXiv
%R 10.1016/j.aim.2012.05.002
%X For an arbitrary commutative ring k and t in k, we construct a 2-functor S_t which sends a tensor category to a new tensor category. By applying it to the representation category of a bialgebra we obtain a family of categories which interpolates the representation categories of the wreath products of the bialgebra. This generalizes the construction of Deligne's category Rep(S_t,k) for representation categories of symmetric groups.
%U http://arxiv.org/abs/1105.5091v3