On representation categories of wreath products in non-integral rank
Representation Theory
2012-06-07 v3 Category Theory
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.
Keywords
Cite
@article{arxiv.1105.5091,
title = {On representation categories of wreath products in non-integral rank},
author = {Masaki Mori},
journal= {arXiv preprint arXiv:1105.5091},
year = {2012}
}
Comments
[v3] 41 pages, appendix added; final version [v2] 39 pages, title changed [v1] 32 pages