2000 character limit reached
On representation categories of wreath products in non-integral rank (1105.5091v3)
Published 25 May 2011 in math.RT and math.CT
Abstract: 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.