Monoidal supercategories
Representation Theory
2017-03-31 v3 Category Theory
Abstract
In the literature, one finds several competing notions for the super (i.e., Z/2-graded) analog of a monoidal category. The goal of this paper is to clarify these definitions and the connections between them. We also discuss in detail the example of the odd Temperley-Lieb supercategory. In a forthcoming article, we will exploit the formalism developed here in order to define super analogs of the Kac-Moody 2-categories of Khovanov-Lauda and Rouquier.
Cite
@article{arxiv.1603.05928,
title = {Monoidal supercategories},
author = {Jonathan Brundan and Alexander P. Ellis},
journal= {arXiv preprint arXiv:1603.05928},
year = {2017}
}
Comments
42 pages, sign error in Definition 1.16 fixed