On representation categories of wreath products in non-integral rank

Details On representation categories of wreath products in non-integral rank On representation categories of wreath products in non-integral rank

2011-05-25

arxiv.org/abs/1105.5091v2

Mathematics

Representation Theory

[v2] 39 pages, title changed [v1] 32 pages

Scientific paper

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.

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